Research on Interactions of Algebraic Geometry, Hodge Theory and Logarithmic Geometry
Research on Interactions of Algebraic Geometry, Hodge Theory and Logarithmic Geometry
批准号:
11304001
负责人:
USUI Sampei
金额:
$16.58万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (A)
财政年份:
1999
资助国家:
日本
项目状态:
已结题
起止时间:
1999 至 2001
中文摘要
期间举行的主要学术讨论会:1)“退化、覆盖和奇点的代数几何和拓扑”,2000年2月,东北学院大学。组委会:T.足利、S. Ogata,K.小野2)2000年7月在长野举行的世界代数几何研讨会。组委会:M。绿色湖Illusie,K. Kato,E. Looijenga,S. Mukai,S.斋藤Chief.有150名学员,其中包括60名来自日本以外的学员,他们享受着令人兴奋的讨论。3)2001年8月在京都国际高等研究所举行的"东亚代数几何"世界研讨会。组委会:K. Konno,A. Moriwaki,N. Nakayama,A. Ohbuchi(Chief),S.我是阿吉大约有60名与会者,其中包括15名来自日本以外主要是东亚国家的与会者,他们享受了刺激性的讨论。4)"代数几何研讨会",兵库县城崎市。这是日本最大的代数几何年度研讨会。1999年11月,组委会:K. Konno,T. USA. 2000年10月,组委会:F。Kato,K.大野2001年10月,组委会:M.小林、H. Tokunaga.5)“霍奇理论与代数几何”。这是一个持续了近20年的年度研讨会。1999年10月,鹿儿岛大学,组织委员会:M。Asakura,S. Tsuboi,S.我是阿吉2001年11月,大坂大学,组织委员会:M。Asakura,S.斋藤岛佐竹,S.个别研究的主要结果是K. Kato和S.我是阿吉本项目成员的其他研究成果见以下参考文献列表。
英文摘要
The main symposia held during the preiod :1) "Algebraic Geometry and Topology of Degenerations, Coverings and Singularities", February, 2000, Tohoku Gakuin University. Organizing Committee : T. Ashikaga, S. Ogata, K. Konno. There were interactions among verious branches.2) World Symposium "Algebraic Geometry 2000, Azumino", July 2000, Nagano. Organizing Committee : M. Green, L. Illusie, K. Kato, E. Looijenga, S. Mukai, S. Saito, S. Usui (Chief). There were 150 pRticitants, including 60 from out-side Japan, who enjoied stimulating discussions. The principal event of this project was successful.3) World Symposium "Algebraic Geometry in East Asia", August 2001, International Institute for Advanced Studies, Kyoto. Organizing Committee : K. Konno, A. Moriwaki, N. Nakayama, A. Ohbuchi (Chief), S. Usui. There were about 60 prticitants, including 15 from countries out-side Japan mainly in east Asia, who enjoied Stimulating discussions. This symposium will be probably continuously held in coutries in east Asia.4) "Algebraic Geometry Symposium", Kinosaki, Hyogo. This is the biggest annual symposium on Algebraic Geometry in Japan. November 1999, Organizing Committee : K. Konno, T. Usa. Ocober 2000, Organizing Committee : F. Kato, K. Ohno. October 2001, Organizing Committee : M. Kobayashi, H. Tokunaga.5) "Hodge athory and Algebraic Geometry". This is an annual symposium which continues almost 20 years. Ocober 1999, Kagoshima University, Organizing Committee : M. Asakura, S. Tsuboi, S. Usui. November 2001, Osaka University, Organizing Committee : M. Asakura, S. Saito, I. Satake, S. Usui.The main result of individual reaesrches is a construction of fine moduli of logarithmic Hodge Structures by K. Kato and S. Usui. The other reserch results by the members of this project are found in the list of references on the next pages.
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Saito, S.: "Motives and Filtrations on Chow groups, II"The Arithmetic and Geometry of Algebraic Cycles, Proc. CRM Summer School, 1998, Banff, Canada, NATO Science Series, Kluwer Academic Publishers. 548. 321-346 (2000)
Saito, S.:“Chow 群的动机和过滤,II”代数圈的算术和几何,Proc。
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Nakamura, I.: "A compactification of the moduli scheme of abelian varieties"mathAG/0107158. (e-print).
Nakamura, I.:“阿贝尔簇模方案的紧凑化”mathAG/0107158。
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Mori, S. (with Fujino, O.): "A canonical bundle formula"J. Diff. Geom.. 56. 167-188 (2000)
Mori, S.(与 Fujino, O.):“规范丛公式”J.
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Namikawa, Y.: "Projectivity criterion of Moishezon spaces and density of projective symplectic varieties"International J. Math.. (to appear).
Namikawa, Y.:“Moishezon 空间的射影准则和射影辛簇的密度”International J. Math..(待发表)。
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Namikawa, Y.: "Extension of 2-forms and symplectic varieties"J. Reine Angew. Math.. 539. 123-147 (2001)
Namikawa, Y.:“2-形式和辛簇的扩展”J.
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共 67 条
Construction and evolution of log Hodge theory and applications of the fundamental diagram to geometry
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批准号:17K05200
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$2.91万
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财政年份:2017
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负责人:USUI Sampei
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依托单位:
Theory of mixed log Hodge structures and its applications
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批准号:23340008
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项目类别:Grant-in-Aid for Scientific Research (B)
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资助金额:$11.48万
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财政年份:2011
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负责人:USUI Sampei
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依托单位:
Theory of log mixed Hodge structures and its applications to geometry
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批准号:19340008
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项目类别:Grant-in-Aid for Scientific Research (B)
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资助金额:$9.48万
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财政年份:2007
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负责人:USUI Sampei
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依托单位:
Study of algebraic varieties by log Hosge theory
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批准号:15340009
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项目类别:Grant-in-Aid for Scientific Research (B)
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资助金额:$9.15万
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财政年份:2003
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负责人:USUI Sampei
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依托单位:
Algebraic Geometry and Hodge Theory
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批准号:08304002
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项目类别:Grant-in-Aid for Scientific Research (B)
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资助金额:$3.9万
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财政年份:1996
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负责人:USUI Sampei
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依托单位:
海外基金