Basic Information

Academic Degree

• 理学修士(東京大学)
• 理学博士(京都大学)

ID,URL

• J-Global ID

  200901070933416719

researchmap URL

• https://researchmap.jp/read0012987

Research

Research Topics, Overview of the research

• Research Topics

  Application of Hodge modules

• Overview of the research

  I study applications of Hodge modules to algebraic geometry.

Research Interests

• 代数幾何
• Algebraic Geometry

Research Areas

• Natural sciences, Algebra

Papers

• On the structure of Brieskorn lattices, II

  SAITO Morihiko

  J. Singularities, 2018, Peer-reviewed, Invited

  
• Generalization of theorems of Griffiths and Steenbrink to hypersurfaces with ordinary double points

  Alexandru Dimca; Morihiko Saito

  BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2017, Peer-reviewed, Invited

  
• Bernstein-Sato polynomials of hyperplane arrangements

  Morihiko Saito

  SELECTA MATHEMATICA-NEW SERIES, Oct. 2016, Peer-reviewed, Invited

  
• Hirzebruch–milnor classes and steenbrink spectra of certain projective hypersurfaces

  Laurentiu Maxim; Morihiko Saito; Jörg Schürmann

  Progress in Mathematics, 2016, Peer-reviewed, Invited

  
• Fields of definition of Hodge loci

  M. Saito; C. Schnell

  London Math. Soc. Lecture Note Ser., 2016, Peer-reviewed, Invited

  
• Normal functions and spread of zero locus

  M. Saito

  London Math. Soc. Lecture Note Ser., 2016, Peer-reviewed, Invited

  
• Some Remarks on the Semipositivity Theorems

  Osamu Fujino; Taro Fujisawa; Morihiko Saito

  PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Mar. 2014, Peer-reviewed

  Access this paper :

  
• Number of Jordan blocks of the maximal size for local monodromies

  Alexandru Dimca; Morihiko Saito

  COMPOSITIO MATHEMATICA, Mar. 2014, Peer-reviewed

  
• Kontsevich's conjecture on an algebraic formula for vanishing cycles of local systems

  Claude Sabbah; Morihiko Saito

  Algebraic Geometry, 01 Jan. 2014, Peer-reviewed

  
• Weight filtration of the limit mixed Hodge structure at infinity for tame polynomials

  Alexandru Dimca; Morihiko Saito

  Mathematische Zeitschrift, Oct. 2013, Peer-reviewed

  
• Hirzebruch-Milnor classes of complete intersections

  Laurentiu Maxim; Morihiko Saito; Joerg Schuermann

  ADVANCES IN MATHEMATICS, Jul. 2013, Peer-reviewed

  
• LOWEST WEIGHTS IN COHOMOLOGY OF VARIATIONS OF HODGE STRUCTURE

  Chris Peters; Morihiko Saito

  NAGOYA MATHEMATICAL JOURNAL, Jun. 2012, Peer-reviewed

  
• Relative Chow-Kunneth decompositions for morphisms of threefolds Dedicated to Professor Jacob Murre

  Stefan Mueller-Stach; Morihiko Saito

  JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, May 2012, Peer-reviewed

  
• VANISHING CYCLE SHEAVES OF ONE-PARAMETER SMOOTHINGS AND QUASI-SEMISTABLE DEGENERATIONS

  Alexandru Dimca; Morihiko Saito

  JOURNAL OF ALGEBRAIC GEOMETRY, Apr. 2012, Peer-reviewed

  
• On the local zeta functions and the b-functions of certain hyperplane arrangements

  Nero Budur; Morihiko Saito; Sergey Yuzvinsky; Willem Veys

  JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, Dec. 2011, Peer-reviewed

  
• Symmetric products of mixed Hodge modules

  Laurentiu Maxim; Morihiko Saito; Joerg Schuermann

  JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, Nov. 2011, Peer-reviewed

  
• A variant of Neron models over curves

  Morihiko Saito; Christian Schnell

  MANUSCRIPTA MATHEMATICA, Mar. 2011, Peer-reviewed

  
• SPECTRUM AND MULTIPLIER IDEALS OF ARBITRARY SUBVARIETIES

  Alexandru Dimca; Philippe Maisonobe; Morihiko Saito

  ANNALES DE L INSTITUT FOURIER, 2011, Peer-reviewed

  
• First Milnor cohomology of hyperplane arrangements

  N. Budur; A. Dimca; M. Saito

  Contemp. Math., AMS, 2011, Peer-reviewed

  
• Jumping coefficients and spectrum of a hyperplane arrangement

  Nero Budur; Morihiko Saito

  MATHEMATISCHE ANNALEN, Jul. 2010, Peer-reviewed

  
• Hodge-Type Conjecture for Higher Chow Groups

  Morihiko Saito

  PURE AND APPLIED MATHEMATICS QUARTERLY, 2009, Peer-reviewed

  
• Relative Chow-Kunneth Decompositions for Conic Bundles and Prym Varieties

  Jan Nagel; Morihiko Saito

  INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2009, Peer-reviewed

  
• A Generalization of the Griffiths' Theorem on Rational Integrals, II

  Alexandru Dimca; Morihiko Saito; Lorenz Wotzlaw

  MICHIGAN MATHEMATICAL JOURNAL, 2009, Peer-reviewed

  
• ON THE HODGE FILTRATION OF HODGE MODULES

  Morihiko Saito

  MOSCOW MATHEMATICAL JOURNAL, 2009, Peer-reviewed

  
• On b-function, spectrum and multiplier ideals

  M. Saito

  Adv. Stud. Pure Math., 2009, Peer-reviewed

  
• Brieskorn modules and gauss-manin systems for non-isolated hypersurface singularities

  Daniel Barlet; Morihiko Saito

  JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, Aug. 2007, Peer-reviewed

  
• Multiplier ideals, b-function, and spectrum of a hypersurface singularity

  Morihiko Saito

  COMPOSITIO MATHEMATICA, Jul. 2007, Peer-reviewed

  
• Direct image of logarithmic complexes and infinitesimal invariants of cycles

  M. Saito

  London Math. Soc. Lecture Note Ser., 2007, Peer-reviewed

  
• Multiplier ideals, V-filtrations and transversal sections

  A. Dimca; Ph. Maisonobe; M. Saito; T. Torrelli

  MATHEMATISCHE ANNALEN, Dec. 2006, Peer-reviewed

  
• A generalization of Griffiths's theorem on rational integrals

  Alexandru Dimca; Morihiko Saito

  DUKE MATHEMATICAL JOURNAL, Nov. 2006, Peer-reviewed

  
• Bernstein-Sato polynomials of arbitrary varieties

  N Budur; M Mustata; M Saito

  COMPOSITIO MATHEMATICA, May 2006, Peer-reviewed

  
• Roots of Bernstein-Sato polynomials for monomial ideals: A positive characteristic approach

  N Budur; M Mustata; M Saito

  MATHEMATICAL RESEARCH LETTERS, Jan. 2006, Peer-reviewed

  
• Combinatorial description of the roots of the Bernstein-Sato polynomials for monomial ideals

  Nero Budur; Mircea Mustata; Morihiko Saito

  COMMUNICATIONS IN ALGEBRA, 2006, Peer-reviewed

  
• Monodromy of a family of hypersurfaces containing a given subvariety

  A Otwinowska; M Saito

  ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, May 2005, Peer-reviewed

  
• Multiplier ideals, V-filtration, and spectrum

  N Budur; M Saito

  JOURNAL OF ALGEBRAIC GEOMETRY, Apr. 2005, Peer-reviewed

  
• Filtrations on chow groups and transcendence degree

  M Saito

  PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Sep. 2004, Peer-reviewed

  
• Nonvanishing of external products for higher Chow groups

  A Rosenschon; M Saito

  JOURNAL OF ALGEBRAIC GEOMETRY, Jul. 2004, Peer-reviewed

  
• Some consequences of perversity of vanishing cycles

  A. Dimca; M. Saito

  Ann. Inst. Fourier, 2004, Peer-reviewed

  
• Deligne's conjecture on 1-motives

  L Barbieri-Viale; A Rosenschon; M Saito

  ANNALS OF MATHEMATICS, Sep. 2003, Peer-reviewed

  
• Cycle map for strictly decomposable cycles

  A Rosenschon; M Saito

  AMERICAN JOURNAL OF MATHEMATICS, Aug. 2003, Peer-reviewed

  
• Monodromy at infinity and the weights of cohomology

  A Dimca; M Saito

  COMPOSITIO MATHEMATICA, Aug. 2003, Peer-reviewed

  
• Refined cycle maps

  M. Saito

  Adv. Stud. Pure Math., 2002, Peer-reviewed

  
• Arithmetic mixed sheaves

  M Saito

  INVENTIONES MATHEMATICAE, Jun. 2001, Peer-reviewed

  
• Algebraic Gauss-Manin systems and Brieskorn modules

  A Dimca; M Saito

  AMERICAN JOURNAL OF MATHEMATICS, Feb. 2001, Peer-reviewed

  
• Dwork cohomology and algebraic D-modules

  A Dimca; F Maaref; C Sabbah; W Saito

  MATHEMATISCHE ANNALEN, Sep. 2000, Peer-reviewed

  
• Mixed Hodge complexes on algebraic varieties

  M Saito

  MATHEMATISCHE ANNALEN, Feb. 2000, Peer-reviewed

  
• Filtered perverse complexes

  P Bressler; M Saito; B Youssin

  MATHEMATICAL RESEARCH LETTERS, Jan. 1998, Peer-reviewed

  
• Admissible normal functions

  M. Saito

  Journal of Algebraic Geometry, 1996, Peer-reviewed

  
• On the theory of mixed Hodge modules

  M. Saito

  Amer. Math. Soc. Transl. Ser., 1994, Peer-reviewed

  
• ON MICROLOCAL B-FUNCTION

  M SAITO

  BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1994, Peer-reviewed

  
• On the bijectivity of some cycle maps

  M. Saito

  Proc. Sympos. Pure Math., 1994, Peer-reviewed

  
• Some remarks on the Hodge type conjectur

  M. Saito

  Proc. Sympos. Pure Math., AMS, 1994, Peer-reviewed

  
• ON THE COHOMOLOGY OF A GENERAL FIBER OF A POLYNOMIAL MAP

  A DIMCA; M SAITO

  COMPOSITIO MATHEMATICA, Feb. 1993, Peer-reviewed

  
• ON B-FUNCTION, SPECTRUM AND RATIONAL SINGULARITY

  M SAITO

  MATHEMATISCHE ANNALEN, Jan. 1993, Peer-reviewed

  
• On the injectivity of cycle maps

  M. Saito

  Publ. Res. Inst. Math. Sci., 1992, Peer-reviewed

  
• On Steenbrink's conjecture

  Morihiko Saito

  Mathematische Annalen, Mar. 1991, Peer-reviewed

  
• Hodge加群について

  斉藤盛彦

  数学, 1991, Peer-reviewed, Invited

  
• Hodge conjecture and mixed motives. I

  M. Saito

  Proc. Sympos. Pure Math., 1991, Peer-reviewed

  
• Hodge conjecture and mixed motives. II

  M. Saito

  Lecture Notes in Math., Springer, Berlin, 1991, Peer-reviewed

  
• Mixed Hodge modules and applications

  M. Saito

  Proceedings of the International Congress of Mathematicians, 1991, Peer-reviewed

  
• On Kollár's conjecture

  M. Saito

  Proc. Sympos. Pure Math., AMS, 1991, Peer-reviewed

  
• PERIOD MAPPING VIA BRIESKORN MODULES

  M SAITO

  BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1991, Peer-reviewed

  
• D-modules on analytic spaces

  M. Saito

  Publ. Res. Inst. Math. Sci., 1991, Peer-reviewed

  
• MIXED HODGE-STRUCTURES ON THE INTERSECTION COHOMOLOGY OF LINKS

  AH DURFEE; M SAITO

  COMPOSITIO MATHEMATICA, Oct. 1990, Peer-reviewed

  
• THE KERNEL SPECTRAL SEQUENCE OF VANISHING CYCLES

  M SAITO; S ZUCKER

  DUKE MATHEMATICAL JOURNAL, Oct. 1990, Peer-reviewed

  
• EXTENSION OF MIXED HODGE MODULES

  M SAITO

  COMPOSITIO MATHEMATICA, May 1990, Peer-reviewed

  
• Decomposition theorem for proper Kähler morphisms

  M. Saito

  Tohoku Math. J., 1990, Peer-reviewed

  
• Mixed Hodge modules

  M. Saito

  Publ. Res. Inst. Math. Sci., 1990, Peer-reviewed

  
• Mixed Hodge modules and admissible variations

  M. Saito

  C. R. Acad. Sci. Paris Ser. I Math., 1989, Peer-reviewed

  
• Duality for vanishing cycle functors

  M. Saito

  Publ. Res. Inst. Math. Sci., 1989, Peer-reviewed

  
• INTRODUCTION TO MIXED HODGE MODULES

  M SAITO

  ASTERISQUE, 1989, Peer-reviewed

  
• INDUCED D-MODULES AND DIFFERENTIAL COMPLEXES

  M SAITO

  BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1989, Peer-reviewed

  
• ON THE STRUCTURE OF BRIESKORN LATTICE

  M SAITO

  ANNALES DE L INSTITUT FOURIER, 1989, Peer-reviewed

  
• EXPONENTS AND NEWTON POLYHEDRA OF ISOLATED HYPERSURFACE SINGULARITIES

  M SAITO

  MATHEMATISCHE ANNALEN, 1988, Peer-reviewed

  
• Modules de Hodge polarisables

  M. Saito

  Publ. Res. Inst. Math. Sci., 1988, Peer-reviewed

  
• ON THE DERIVED CATEGORIES OF MIXED HODGE MODULES

  M SAITO

  PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Nov. 1986, Peer-reviewed

  
• MIXED HODGE MODULES

  M SAITO

  PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Nov. 1986, Peer-reviewed

  
• HODGE STRUCTURE VIA FILTERED D-MODULES

  M SAITO

  ASTERISQUE, 1985, Peer-reviewed

  
• Hodge filtrations on Gauss-Manin systems. I

  M. Saito

  J. Fac. Sci. Univ. Tokyo Sect. IA Math., 1984, Peer-reviewed

  
• SUPPLEMENT TO GAUSS-MANIN SYSTEM AND MIXED HODGE STRUCTURE

  M SAITO

  ASTERISQUE, 1983, Peer-reviewed

  
• ON THE EXPONENTS AND THE GEOMETRIC GENUS OF AN ISOLATED HYPERSURFACE SINGULARITY

  M SAITO

  PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1983, Peer-reviewed

  
• Hodge filtrations on Gauss-Manin systems. II

  M. Saito

  Proc. Japan Acad. Ser. A Math. Sci., 1983, Peer-reviewed

  
• GAUSS-MANIN SYSTEM AND MIXED HODGE STRUCTURE

  M SAITO

  PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1982, Peer-reviewed

  

Misc.

• A young person's guide to mixed Hodge modules

  M. Saito

  Adv. Lect. Math., Int. Press, 2017, Peer-reviewed, Invited

  

Presentations

• Recent developments around b-functions

  M. Saito

  Developments of mathematics at IPMU: in honor of Kyoji Saito, 25 Apr. 2017, Invited

  
• On the structure of Brieskorn lattices

  M. Saito

  Primitive Forms, Mirror Symmetry and Related Topics 2014, 26 Dec. 2014, Invited

  
• Graded Koszul cohomology and pole order spectrum

  M. Saito

  The 1st Franco-Japanese-Vietnamese Symposium on Singularities, Nice, 18 Sep. 2013, Invited

  
• On the definition of mixed Hodge modules

  M. Saito

  Mixed Hodge Modules and Their Applications, Oxford, 20 Aug. 2013, Invited

  
• Normal functions and spread of zero-locus

  M. Saito

  Recent advances in Hodge theory: period domains, algebraic cycles, and arithmetic, 15 Jun. 2013, Invited

  
• Hirzebruch-Milnor classes of complete intersections

  M. Saito

  The 6th Franco-Japanese Symposium on Singularities, 06 Sep. 2011, Invited

  
• Jumping coefficients, spectra and b-functions of hyperplane arrangements

  M. Saito

  Oberwolfach workshop, 23 Sep. 2009, Invited

  
• Generalization of Neron models of Green, Griffiths, Kerr

  M. Saito

  Hodge theory and algebraic geometry, Kyoto, 30 Jun. 2009, Invited

  
• Generalization of Neron models of Green, Griffiths, Kerr

  M. Saito

  Hodge Theory and Motives, Dijon, 01 May 2009, Invited

  
• Conjecture de Hodge et cycles évanescents

  M. Saito

  Singularités et applications, Nice, 07 Nov. 2008, Invited

  
• Cycles évanescents d'une fonction dont la fibre générique est lisse

  M. Saito

  Singularités et applications, Nice, 07 Nov. 2008, Invited

  
• Hausdorff property of the Zucker extension

  M. Saito

  Hodge Theory, Banff, 07 Apr. 2008, Invited

  
• Sur la b-fonction, le spectre et les idéaux multiplicateurs d'une fonction

  M. Saito

  Singularités et géométrie complexes, Université de Nancy, 26 Sep. 2007, Invited

  
• On b-function, spectrum, and multiplier ideals

  M. Saito

  Niigata Workshop on Complex Geometry and Singularities, 22 Aug. 2007, Invited

  
• On b-function, spectrum, and multiplier ideals

  M. Saito

  Algebraic Analysis and Around in honor of Professor Masaki Kashiwara's 60th birthday, 28 Jun. 2007, Invited

  
• Spectrum, b-function, and multiplier ideals

  M. Saito

  Geometry Days In honour of Joseph Steenbrink on his 60th birthday, 02 Jun. 2007, Invited

  
• Generalization of Griffiths' theorem on rational integrals and related topics

  M. Saito

  Hodge theory, San Servolo, Venice, 20 Jun. 2006, Invited

  
• Chow-Kunneth decomposition for varieties with low cohomological level

  M. Saito

  Motives and Periods, University of British Columbia, Vancouver, 06 Jun. 2006, Invited

  
• Bernstein-Sato polynomials of hyperplane arrangements

  M. Saito

  Recent Developments in Higher Dimensional Algebraic Geometry, The Johns Hopkins University, 13 Mar. 2006, Invited

  
• Multiplier ideals and b-function

  M. Saito

  Hayama Symposium on Complex Analysis in Several Variables 2005, 19 Dec. 2005, Invited

  
• Hodge theory and b-functions

  M. Saito

  Hodge Theory and Log Geometry, The Johns Hopkins University, 16 Mar. 2005, Invited

  
• On a refined cycle map

  M. Saito

  Algebraic Geometry 2000, Azumino, 20 Jul. 2000, Invited

  

Awards

• Mar. 1991

  Mathematical Society of Japan, Spring Prize

External funds: Kakenhi

• Completion of the foundation and applications of Hodge modules

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Morihiko Saito

  From 01 Apr. 2015, To 31 Mar. 2023, Project Closed

  ベルンシュタイン佐藤多項式;ヒルツェブルフ特性類;高次デュボワ特異点;ホッジ・イデアル;対数微分形式;超平面配置;ホッジ加群;対数比較定理;分解定理;高次有理特異点;ヒルツェブルフ・ミルナー特性類;ヴェルディエ特殊化;高次対数標準特異点;マンフォード・カステルヌオボ正則量;比較定理;ニュートン非退化超曲面;交叉複体;コボルディスム類群;L-類;ミルナー束コホモロジー;有理特異点;境界ホッジ数;ニュートン非退化関数;スペクトラム;消滅輪体;ミルナー・ファイバー;ニュートン多面体;b-関数;極位数スペクトル系列;Lyubeznik数;ヒルツェブルフ・ミルナー類;トム・セバスチャニ定理;超局所乗数イデアル;ブリースコーン加群;ガウス・マニン接続

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15K04816/
• Improvement of the foundation of Hodge modules and their further applications

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Morihiko Saito

  From 01 Apr. 2012, To 31 Mar. 2016, Project Closed

  ホッジ加群;半正定値性定理;許容法関数;b-関数;超平面配置;ヒルツェブルフ類;コンツェヴィチ複体;フロベニウス多様体;ヒルベルト数列;ミルナー環;混合ホッジ加群;ステンブリンク・スペクトル;極位数スペクトル;ホッジ類;スプレッド;ヒルツェブルフ特性類;チャウ・モチーフ;コンツェビッチ複体;ブリースコルン加群;チャウ・キュネット分解

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24540039/
• New applications of the theory of mixed Hodge modules and mixed sheaves

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Morihiko SAITO

  From 01 Apr. 2009, To 31 Mar. 2013, Project Closed

  ホッジ加群;ネロン模型;チャウ・キュネット分解;超平面配置;ヒルツェブルフ類;消滅輪体;コンツェヴィチ予想;コンツェビッチ予想;ミルナー類;混合ホッジ加群;局所モノドロミー;対称積;ヒルツェブルフ特性類;仮想特性類;双対加群;ホッジ予想;許容法函数;柏原予想;非確定型微分方程式系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21540037/
• New applications of the theory of Hodge modules to algebraic geometry

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Morihiko SAITO

  From 01 Apr. 2007, To 31 Mar. 2009, Project Closed

  ホッジ加群;ネロン模型;認容法函数;スペクトラム;消滅輪体;チャウ・キュネット分解;交叉コホモロジー;超平面配置;ホッジ予想;許容法函数;スペクトル;跳躍係数;ウェイト・フィルトレーション

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19540023/
• Applications of algebro-analytic method in algebraic geometry

  Grant-in-Aid for Scientific Research (C)

  KYOTO UNIVERSITY

  Morihiko SAITO

  From 01 Apr. 2005, To 31 Mar. 2007, Project Closed

  チャウ・キュネット分解;b-函数;超平面配置;乗数イデアル;フシェッツ・ヴェルディエ跡公式;極位数フィルトレーション;ホッジ・フィルトレーション;青本予想;レフシェッツ公式;交叉コホモロジー;跳躍係数;非特性超平面切断, Chow-Kunneth decomposition;b-function;hyperplane arrangement;multiplier ideal;Lefschetz-Verdier trace formula;pole order filtration

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17540023/
• The study of integrable systems and Lie algebras associated with the period maps for primitive forms

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Kyoji SAITO

  From 01 Apr. 2004, To 31 Mar. 2008, Project Closed

  原始形式;リー環;行列分解;導来圏;鏡映群;不連続群;分配関数;極限集合;正規ウェイト系;三角圏;無限次元リー環;対数的自由因子;基本群;正規ウエイト系;エータ積;対数型微分形式;エータ関数;コクセター変換;Hook length formula;組み紐群;ルート系, primitive forms;Lie algebra;matrix factorization;derived category;reflection group;discontinuous group;partition function

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16340016/
• Various Problems on the Classification in Higher Dimensional Birational Geometry

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Shigefumi MORI

  From 01 Apr. 2004, To 31 Mar. 2008, Project Closed

  Qコニック束;K3曲面;端末特異点;因子収縮射;フロップ;複素シンプレクティック多様体;ファノ多様体;極小モデル理論;端射線;del Pezzo曲面;逆同伴;乗数イデアル;ポアソン変形;モジュライ空間;シンプレクテイック特異点;変形;対数的標準特異点;b関数;フリップ;標準特異点;general elephant予想;因子収縮写像;導来圏;Fano多様体;Zariski分解;Chow群, Q-conic bundle;K3 surface;Terminal singularity;divisorial contraction;flop;complex symplectic variety;Fano variety;minimal model theory

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16340004/
• Galois groups and fundamental groups

  Grant-in-Aid for Scientific Research (B)

  KYOTO UNIVERSITY

  Yasutaka IHARA

  From 01 Apr. 1997, To 31 Mar. 2000, Project Closed

  基本群;ガロア群;射影直線マイナス3点;Grothendieck-Teichmuller群;ベータ関数;ガンマ関数;安定微分環;円分体の整数論;絶対ガロア群;射影直線マイナス3点の;円分体のアーベル拡大;整数論;Soule元;pro-p基本群, Galois group;Fundamental group;The projective line minus 3 points;Grothendieck-Teichmuller group;Adelic beta function;Hyperadelic gamma function;The stable derivation algebra;Arithmetic of cyclotomic fields

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09440011/
• Theory of singular perturbations

  Grant-in-Aid for Scientific Research (B)

  KYOTO UNIVERSITY

  Takahiro KAWAI

  From 01 Apr. 1996, To 31 Mar. 1999, Project Closed

  完全WKB解析;Borel総和法;モノドロミー群;Painleve超越函数;multiple scale;Schrodinger方程式;Stokes曲線;(微分方程式の) 変形;接続公式;変わり点;(微分方程式の)変形;パンルヴェ函数;multiple-scale;ストークス曲線;変り点;ボレル和;保型函数;微分方程式の変形;代数解析学;特異摂動;Painleve函数;Multiple-scale;複素フーリエ解析, Exact WKB analysis;Borel resummation;monodromy groups;Painleve transcendents;multiple-scale;Schrodinger equations;Stokes curves;deformation (of differential equations)

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08454029/
• 高次元代数多様体と共形場理論

  Grant-in-Aid for international Scientific Research

  Kyoto University

  森 重文

  From 01 Apr. 1996, To 31 Mar. 1997, Project Closed

  極小モデル;フリップ;Calabi-Yau多様体;ミラー対称;K3曲面;普遍被覆空間;D-brane;モジュライ空間;Calabi-Yan多様体

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08044078/
• 非可換解析学の研究

  Grant-in-Aid for General Scientific Research (C)

  Kyoto University

  荒木 不二洋

  From 01 Apr. 1994, To 31 Mar. 1995, Project Closed

  指標公式;WKB解析;組み紐群;b関数;2次元量子重力場;同変ホモトピー型;非可換解析

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06640232/
• Higher Dimensional Algebraic Varieties

  Grant-in-Aid for international Scientific Research

  Kyoto University

  Shigefumi MORI

  From 01 Apr. 1992, To 31 Mar. 1994, Project Closed

  極小モデル;フリップ;ファノ多様体;シャファレビッチ写像;ホッジ理論;カラビ・ヤオ多様体;ベクトル束;タイヒミューラー空間;極小モデル理論;基本群;フェルリンデ公式;射影空間, Minimal model;flip;Fano variety;Shafarevich map;Hodge theory;Calabi-Yau variety;vector bundle;Teichmueller space

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-04044081/
• Studies of D Module and Integrable System

  Grant-in-Aid for General Scientific Research (B)

  Kyoto University

  Mikio SATO

  From 01 Apr. 1990, To 31 Mar. 1992, Project Closed

  超局所解析;WKB展開;Borel変換;結晶基底;Eichler積分;XY模型;定角曲線;Dー加群;非調和振動子;ボロス係数;量子群;R行列;ブレ-ド群;格子型模型;混合ホッジ加群, Micro-Local Analysis;WKB Method;Borel Transform;Crystal Base;Eichler Integral;XY Model;Constant Angle Curve;D Module

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-02452009/
• Studies of Algebraic and Analytic Varieties

  Grant-in-Aid for General Scientific Research (B)

  Kyoto University

  Kyoji SAITO

  From 01 Apr. 1990, To 31 Mar. 1992, Project Closed

  Teichmuller空間;modular函数;量子群;vertex模型;K3曲面;Hodge加群;WKB理論;BRS cohomology;moduli空間;Teichmu^^¨ller空間;configuration空間;数理物理学;Hodge構造;L^2ーcohomology, Teichmuller Space;Modular Function;Quantum Group;Vertex Operator;K3 Surface;Hodge Module;WKB Theory;BRS Cohomology

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-02452003/
• Studies of Algebraic Analysis

  Grant-in-Aid for General Scientific Research (B)

  Kyoto University

  Masaki KASHIWARA

  From 01 Apr. 1988, To 31 Mar. 1991, Project Closed

  カッツ・ム-ディ-リ-環;量子群;可解格子模型;R行列;カイラル・ポッツ模型;ホッジ理論;非調和振動子;量子動;量子重力;無限次元多様体;結晶基底;共形場の理論;混合ホッジ加群;代数解析学;無限次元グラスマン多様体;無限次元リー環;共変量子力学, Kac-Moody algebra;Quantum group;Solvable lattice model;R matrix;Chiral Potts model;Hodge theory;unnarmonic oscillator;quantum gravity

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-63460005/