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- NAKAYAMA Chikara
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- NAKAYAMA Chikara
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Papers
| 1. | Moduli of logarithmic abelian varieties with PEL structure (Peer-reviewed) Kazuya Kato, Takeshi Kajiwara, Chikara Nakayama Yokohama Mathematical Journal Vol.71,pp.1-31 2025.12 
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| 2. | MIXED OBJECTS ARE EMBEDDED INTO LOG PURE OBJECTS (Peer-reviewed) Kazuya Kato, Chikara Nakayama, Sampei Usui OSAKA JOURNAL OF MATHEMATICS Vol.62,No.3,pp.446-465 2025.7 |
| 3. | Toroidal compactifications and Borel-Serre compactifications (Peer-reviewed) Kazuya Kato, Chikara Nakayama, Sampei Usui PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES Vol.101,No.3,pp.13-18 2025.3
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| 4. | Base Change Theorems for Log Analytic Spaces (Peer-reviewed) C. Nakayama Tokyo J. Math. Vol.46,No.1,pp.111-124 2023.6 |
| 5. | Deligne Beilinson cohomology and log Hodge theory (Peer-reviewed) K. Kato, C. Nakayama, S. Usui Proc. Japan;Acad. Ser;A Math. Sc. Vol.99,No.4,pp.27-32 2023.4 |
| 6. | Logarithmic abelian varieties, Part VII: Moduli (Peer-reviewed) Takeshi Kajiwara, Kazuya Kato, Chikara Nakayama Yokohama Mathematical Journal Vol.67,pp.9-48 2021.12 |
| 7. | On log motives (jointly worked) (Peer-reviewed) Chikara Nakayama Tunisian Journal of Mathematics Vol.2,No.4,pp.733-789 2020.10
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| 8. | Geometric polarized log Hodge structures with a base of log rank one (jointly worked) (Peer-reviewed) Taro Fujisawa, Chikara Nakayama Kodai Mathematical Journal Vol.43,No.1,pp.57-83 2020.3 |
| 9. | Logarithmic abelian varieties, Part VI: Local moduli and GAGF (jointly worked) (Peer-reviewed) Chikara Nakayama Yokohama Mathematical Journal Vol.65,pp.53-75 2019.12 |
| 10. | Logarithmic abelian varieties, Part V: Projective models (jointly worked) (Peer-reviewed) Takeshi Kajiwara, Kazuya Kato, Chikara Nakayama Yokohama Mathematical Journal Vol.64,pp.21-82 2018.12 |
| 11. | Classifying spaces of degenerating mixed Hodge structures, IV: The fundamental diagram (Peer-reviewed) Kazuya Kato, Chikara Nakayama, Sampei Usui Kyoto Journal of Mathematics Vol.58,No.2,pp.289-426 2018.6
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| 12. | Log abelian varieties (Survey) (Peer-reviewed) 中山 能力 RIMS Kokyuroku Bessatsu Vol.B64,pp.295-311 2017.7 |
| 13. | Extended period domains, algebraic groups, and higher Albanese manifolds (jointly worked) (Peer-reviewed) Kazuya Kato, Chikara Nakayama, Sampei Usui Hodge Theory and L<SUP>2</SUP>-analysis, Advances Lectures in Mathematics Vol.39,pp.451-473 2017.7 |
| 14. | Logarithmic étale cohomology, II (Peer-reviewed) Chikara Nakayama Advances in Mathematics Vol.314,pp.663-725 2017.6 |
| 15. | Categorical characterization of strict morphisms of fs log schemes (jointly worked) (Peer-reviewed) Yuichiro Hoshi, Chikara Nakayama Mathematical Journal of Okayama University Vol.59,No.1,pp.1-19 2017.1 
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| 16. | The grothendieck conjecture for the moduli spaces of hyperbolic curves of genus one (Peer-reviewed) Yuichiro Hoshi, Ryo Kinoshita, Chikara Nakayama Kodai Mathematical Journal Vol.40,No.3,pp.625-637 2017
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| 17. | A large orbit in a finite affine quandle (jointly worked) (Peer-reviewed) Chikara Nakayama, Takeshi Kajiwara Yokohama Mathematical Journal Vol.62,pp.25-29 2016.12 |
| 18. | 書評 K. Kato and S. Usui: Classifying Spaces of Degenerating Polarized Hodge Structures (Ann. of Math. Stud., 169) (Peer-reviewed) 中山 能力 「数学」 Vol.68,No.1,pp.94-97 2016.1
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| 19. | Geometric log Hodge structures on the standard log point (Peer-reviewed) Taro Fujisawa, Chikara Nakayama HIROSHIMA MATHEMATICAL JOURNAL Vol.45,No.3,pp.231-266 2015.11 |
| 20. | Log Neron models over surfaces, II (Peer-reviewed) Chikara Nakayama HOKKAIDO MATHEMATICAL JOURNAL Vol.44,No.3,pp.365-385 2015.10
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| 21. | LOGARITHMIC ABELIAN VARIETIES, PART IV: PROPER MODELS (Peer-reviewed) Takeshi Kajiwara, Kazuya Kato, Chikara Nakayama NAGOYA MATHEMATICAL JOURNAL Vol.219,pp.9-63 2015.9
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| 22. | Néron models for admissible normal functions (jointly worked) (Peer-reviewed) Kazuya Kato, Chikara Nakayama, Sampei Usui Proceedings of the Japan Academy, Series A, Mathematical Sciences Vol.90,No.1,pp.6-10 2014.4
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| 23. | On log flat descent (Peer-reviewed) Luc Illusie, Chikara Nakayama, Takeshi Tsuji PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES Vol.89,No.1,pp.1-5 2013.1
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| 24. | Logarithmic abelian varieties, III: Logarithmic elliptic curves and modular curves (Peer-reviewed) Takeshi Kajiwara, Kazuya Kato, Chikara Nakayama Nagoya Mathematical Journal Vol.210,pp.59-81 2013
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| 25. | Classifying spaces of degenerating mixed hodge structures, III: Spaces of nilpotent orbits (Peer-reviewed) Kazuya Kato, Chikara Nakayama, Sampei Usui Journal of Algebraic Geometry Vol.22,No.4,pp.671-672 2013
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| 26. | Log Neron Models over Surfaces (Peer-reviewed) Chikara Nakayama JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO Vol.19,No.4,pp.613-659 2012 |
| 27. | Analyticity of the closures of some Hodge theoretic subspaces (Peer-reviewed) Kazuya Kato, Chikara Nakayama, Sampei Usui PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES Vol.87,No.9,pp.167-172 2011.11
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| 28. | Classifying spaces of degenerating mixed Hodge structures, II: Spaces of SL(2)-orbits (jointly worked) (Peer-reviewed) Chikara Nakayama, K. Kato, S. Usui Kyoto Journal of Mathematics (Nagata Memorial Issue) Vol.51,No.1,pp.149-261 2011.1 |
| 29. | Neron models in log mixed Hodge theory by weak fans (Peer-reviewed) Kazuya Kato, Chikara Nakayama, Sampei Usui PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES Vol.86,No.8,pp.143-148 2010.10
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| 30. | Moduli of log mixed Hodge structures (Peer-reviewed) Kazuya Kato, Chikara Nakayama, Sampei Usui PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES Vol.86,No.7,pp.107-112 2010.7
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| 31. | Log intermediate Jacobians (Peer-reviewed) Kazuya Kato, Chikara Nakayama, Sampei Usui Proceedings of the Japan Academy Series A: Mathematical Sciences Vol.86,No.4,pp.73-78 2010.4
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| 32. | Relative rounding in toric and logarithmic geometry (Peer-reviewed) Chikara Nakayama, Arthur Ogus GEOMETRY & TOPOLOGY Vol.14,No.4,pp.2189-2241 2010
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| 33. | QUASI-SECTIONS IN LOG GEOMETRY (Peer-reviewed) Chikara Nakayama OSAKA JOURNAL OF MATHEMATICS Vol.46,No.4,pp.1163-1173 2009.12 |
| 34. | Classifying spaces of degenerating mixed Hodge structures, I: Borel-Serre spaces (Peer-reviewed) Kazuya Kato, Chikara Nakayama, Sampei Usui ALGEBRAIC ANALYSIS AND AROUND: IN HONOR OF PROFESSOR MASAKI KAISHIWARA'S 60TH BIRTHDAY Vol.54,pp.187-+ 2009 |
| 35. | Higher direct images of local systems in log Betti cohomology (jointly worked) (Peer-reviewed) Chikara Nakayama, T. Kajiwara Journal of Mathematical Sciences, The University of Tokyo Vol.15,pp.291-323 2008.9
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| 36. | SL(2)-ORBIT THEOREM FOR DEGENERATION OF MIXED HODGE STRUCTURE (Peer-reviewed) Kazuya Kato, Chikara Nakayama, Sampei Usui JOURNAL OF ALGEBRAIC GEOMETRY Vol.17,No.3,pp.401-479 2008.7 |
| 37. | A projection formula for log smooth varieties in log etale cohomology (Peer-reviewed) Chikara Nakayama MATHEMATISCHE ZEITSCHRIFT Vol.258,No.4,pp.915-924 2008.4
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| 38. | Higher Direct Images of Local Systems in Log Betti Cohomology (Peer-reviewed) Takeshi Kajiwara, Chikara Nakayama JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO Vol.15,No.2,pp.291-323 2008 |
| 39. | Analytic log picard varieties (Peer-reviewed) Takeshi Kajiwara, Kazuya Kato, Chikara Nakayama Nagoya Mathematical Journal Vol.191,pp.149-180 2008
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| 40. | Logarithmic abelian varieties (Peer-reviewed) Takeshi Kajiwara, Kazuya Kato, Chikara Nakayama Nagoya Mathematical Journal Vol.189,pp.63-138 2008
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| 41. | Logarithmic abelian varieties, Part I: Complex analytic theory (Peer-reviewed) Takeshi Kajiwara, Kazuya Kato, Chikara Nakayama JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO Vol.15,No.1,pp.69-193 2008
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| 42. | Erratum: Erratum to "Quasi-unipotent logarithmic Riemann-Hilbert correspondences" (jointly worked) (Peer-reviewed) Chikara Nakayama, L. Illusie, K. Kato Journal of Mathematical Sciences, The University of Tokyo Vol.14,pp.113-116 2007.4
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| 43. | Quasi-unipotent logarithmic Riemann-Hilbert correspondences (jointly worked) (Peer-reviewed) Chikara Nakayama, L. Illusie, K. Kato Journal of Mathematical Sciences, The University of Tokyo Vol.12,No.1,pp.1-66 2005.4
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| 44. | Mixed Hodge structures on log deformations. (Peer-reviewed) T Fujisawa, C Nakayama RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA Vol.110,pp.221-268 2003 |
| 45. | Log C<SUP>∞</SUP>-functions and degenerations of Hodge structures (jointly worked) (Peer-reviewed) Chikara Nakayama, K. Kato, T. Matsubara <I>Algebraic Geometry 2000, Azumino (Advanced Studies in Pure Mathematics 36)</I>, S. Usui, M. Green, L. Illusie, K. Kato, E. Looijenga, S. Mukai and S. Saito eds. pp.269-320 2002.11 |
| 46. | Degeneration of l-adic weight spectral sequences (Peer-reviewed) C Nakayama AMERICAN JOURNAL OF MATHEMATICS Vol.122,No.4,pp.721-733 2000.8 |
| 47. | Log Betti Cohomology, Log Étale Cohomology, and Log De Rham Cohomology of Log Schemes Over C (Peer-reviewed) Kazuya Kato, Chikara Nakayama Kodai Mathematical Journal Vol.22,No.2,pp.161-186 1999
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| 48. | Nearby cycles for log smooth families (Peer-reviewed) Chikara Nakayama Compositio Mathematica Vol.112,No.1,pp.45-75 1998
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| 49. | Weights of the l-adic cohomology of a proper toric variety (Peer-reviewed) T Kajiwara, C Nakayama COMMUNICATIONS IN ALGEBRA Vol.26,No.12,pp.4143-4147 1998 |
| 50. | Logarithmic etale cohomology (Peer-reviewed) C Nakayama MATHEMATISCHE ANNALEN Vol.308,No.3,pp.365-404 1997.7 |
| 51. | Duality in log étale cohomology.
Chikara Nakayama Sūrikaisekikenkyūsho Kōkyūroku Vol.925,pp.95-101 1995.10
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Misc.
| 1. | Quasi-unipotent logarithmic Riemann-Hilbert correspondences (vol 12, pg 1, 2005)
Luc Illusie, Kazuya Kato, Chikara Nakayama JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO Vol.14,No.1,pp.113-116 2007 |
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Presentations
| No. | Name of subject/Conference Name | Year | Site |
|---|---|---|---|
| 1. | Ratio space and the fundamental problem in log Hodge theory(Hodge 理論と代数幾何学) |
Holding date :
2025.10.4 Presentation date : 2025.10.4 |
|
| 2. | Moduli of logarithmic abelian varieties with PEL structure(2022 年度城崎代数幾何学シンポジウム) |
Holding date :
2022.10.18
- 2022.10.21 Presentation date : 2022.10.21 |
オンライン |
| 3. | Log Hodge theory(代数セミナー) |
Holding date :
Presentation date : 2021.8.20 |
横浜国立大学（オンライン） |
| 4. | Geometric polarized log Hodge structures over the base of log rank one(ワークショップ「ホッジ理論と代数幾何学」) |
Holding date :
Presentation date : 2018.8.23 |
東京電機大学（東京千住キャンパス） |
| 5. | Log motives and the Hodge realization(Workshop: Log geometry, degenerations and related topics.) |
Holding date :
Presentation date : 2018.2.19 |
神戸大学 |
| 6. | Log mixed Hodge 理論における無限遠点の捉え方 (1) ― Log higher Albanese manifolds ―(ワークショップ「ホッジ理論と代数幾何学」) |
Holding date :
Presentation date : 2017.8.29 |
東京電機大学（東京千住キャンパス） |
| 7. | Relative log Poincaré duality(Algebraic Geometry -- A conference in honor of Arthur Ogus on the occasion of his 70th birthday) |
Holding date :
Presentation date : 2015.9.23 |
Institut des Hautes Etudes Scientifiques，パリ |
| 8. | Moduli spaces of log mixed Hodge structures(ワークショップ「ホッジ理論と代数幾何学」) |
Holding date :
Presentation date : 2015.8.6 |
東京電機大学（東京千住キャンパス） |
| 9. | Log abelian varieties (Survey)(Algebraic Number Theory and Related Topics) |
Holding date :
Presentation date : 2014.12.1 |
京都大学数理解析研究所 |
| 10. | Degeneration of normal functions and log mixed Hodge theory(第 58 回代数学シンポジウム) |
Holding date :
Presentation date : 2013.8.26 |
広島大学 |
| 11. | Geometric log Hodge structures on the standard log point, I(ワークショップ「ホッジ理論と代数幾何学」) |
Holding date :
Presentation date : 2013.8.5 |
東京電機大学（東京千住キャンパス） |
| 12. | * Topics in arithmetic geometry(数理科学セミナー) |
Holding date :
Presentation date : 2013.5.8 |
一橋大学 |
| 13. | * Degenerate fibers and log geometry(研究集会Branched coverings, degenerations, and related topics) |
Holding date :
Presentation date : 2013.3.9 |
首都大学東京 |
| 14. | * log 幾何概説(数理科学セミナー) |
Holding date :
Presentation date : 2012.10.24 |
一橋大学 |
| 15. | * Log Néron models over surfaces(ワークショップ「ホッジ理論と代数幾何学」) |
Holding date :
Presentation date : 2012.8.2 |
東京電機大学（東京千住キャンパス） |
| 16. | * A fiber bundle property of proper log smooth maps(Workshop on <I>p</I>-adic arithmetic geometry and motives) |
Holding date :
Presentation date : 2012.1.25 |
東北大学 |
| 17. | * Log Hodge theory(Number Theory Seminar) |
Holding date :
Presentation date : 2011.3.28 |
清華大学（北京） |
| 18. | * Log abelian varieties, East Asia Number Theory Conference(East Asia Number Theory Conference) |
Holding date :
Presentation date : 2009.8.20 |
清華大学（北京） |
| 19. | * Relative rounding and submersivity of log smooth maps(Symposium "Hodge theory and algebraic geometry": Occasion of the 60th birthday of Sampei Usui) |
Holding date :
Presentation date : 2009.7.1 |
京都大学数理解析研究所 |
| 20. | Log abelian varieties(2008 日本数学会秋季総合分科会) |
Holding date :
Presentation date : 2008.9.26 |
東京工業大学（大岡山キャンパス） |
Awards
| No. | Award name | Year |
|---|---|---|
| 1. | 東京工業大学 理学系若手研究奨励賞 | 2012.10 |
Research Projects
| No. | Research subject | Research item(Awarding organization, System name) | Year |
|---|---|---|---|
| 1. | 比の空間と非アルキメデス的幾何
|
基盤研究(C)
( Awarding organization: 日本学術振興会 System name: 科学研究費助成事業 ) |
2026.4 - 2031.3 |
| 2. | Periods of integral for log smooth families
|
Grant-in-Aid for Scientific Research (C)
( Awarding organization: Japan Society for the Promotion of Science System name: Grants-in-Aid for Scientific Research ) |
2022.4 - 2027.3 |
| 3. | Construction and evolution of log Hodge theory and applications of the fundamental diagram to geometry
|
Grant-in-Aid for Scientific Research (C)
( Awarding organization: Japan Society for the Promotion of Science System name: Grants-in-Aid for Scientific Research ) |
2017.4 - 2023.3 |
| 4. | Compactification of Mumford--Tate domains and log geometry
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Scientific Research (C)
( Awarding organization: Japan Society for the Promotion of Science System name: Grants-in-Aid for Scientific Research ) |
2016.4 - 2021.3 |
| 5. | Theory of mixed log Hodge structures and its applications
|
Grant-in-Aid for Scientific Research (B)
( Awarding organization: Japan Society for the Promotion of Science System name: Grants-in-Aid for Scientific Research ) |
2011.4 - 2016.3 |
| 6. | アーベル多様体のモジュライ空間のコンパクト化とlog幾何
|
基盤研究(C)
( Awarding organization: 日本学術振興会 System name: 科学研究費助成事業 ) |
2010.4 - 2015.3 |
| 7. | Theory of log mixed Hodge structures and its applications to geometry
|
Grant-in-Aid for Scientific Research (B)
( Awarding organization: Japan Society for the Promotion of Science System name: Grants-in-Aid for Scientific Research ) |
2007 - 2010 |
| 8. | 混合ホッジ構造のモジュライ空間のコンパクト化とlog幾何
|
基盤研究(C)
( Awarding organization: 日本学術振興会 System name: 科学研究費助成事業 ) |
2006.4 - 2010.3 |
| 9. | Arithmetic of Automorphic Forms and Discrete Groups
|
Grant-in-Aid for Scientific Research (C)
( Awarding organization: Japan Society for the Promotion of Science System name: Grants-in-Aid for Scientific Research ) |
2004 - 2005 |
| 10. | アーベル多様体の退化とlog幾何,点のない空間概念
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若手研究(B)
( Awarding organization: 日本学術振興会 System name: 科学研究費助成事業 ) |
2002 - 2004 |
| 11. | Research on Eisenstein series
|
Grant-in-Aid for Scientific Research (C)
( Awarding organization: Japan Society for the Promotion of Science System name: Grants-in-Aid for Scientific Research ) |
2002 - 2003 |
| 12. | The structure of polarized varieties
|
Grant-in-Aid for Scientific Research (C)
( Awarding organization: Japan Society for the Promotion of Science System name: Grants-in-Aid for Scientific Research ) |
2000 - 2001 |
| 13. | logエタール景と一般logリーマン・ヒルベルト対応,ホッジ構造の退化
|
奨励研究(A)
( Awarding organization: 日本学術振興会 System name: 科学研究費助成事業 ) |
2000 - 2001 |
| 14. | Algebraic Cycles on Algebraic Varieties
|
Grant-in-Aid for Scientific Research (B)
( Awarding organization: Japan Society for the Promotion of Science System name: Grants-in-Aid for Scientific Research ) |
1999 - 2001 |
| 15. | 固有log smooth底変換logホッジ理論とアーベル多様体の退化
|
奨励研究(A)
( Awarding organization: 日本学術振興会 System name: 科学研究費助成事業 ) |
1998 - 1999 |
| 16. | Research on nearly holomorphic modular forms
|
Grant-in-Aid for Scientific Research (C)
( Awarding organization: Japan Society for the Promotion of Science System name: Grants-in-Aid for Scientific Research ) |
1998 - 1999 |
| 17. | Classification and structure of polarized varieties
|
Grant-in-Aid for Scientific Research (B)
( Awarding organization: Japan Society for the Promotion of Science System name: Grants-in-Aid for Scientific Research ) |
1997 - 1999 |
| 18. | 調和写像に関係する幾何学
|
基盤研究(C)
( Awarding organization: 日本学術振興会 System name: 科学研究費助成事業 ) |
1996 |
| 19. | l進対数的エタール・コホモロジー論とその応用
|
奨励研究(A)
( Awarding organization: 日本学術振興会 System name: 科学研究費助成事業 ) |
1996 |
| 20. | ゼータ関数と正規積の研究
|
一般研究(C)
( Awarding organization: 日本学術振興会 System name: 科学研究費助成事業 ) |
1995 |
