2009 Fiscal Year Final Research Report
Research on lattices, automorphic forms and moduli spaces
| Project/Area Number |
18204001
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| Research Category |
Grant-in-Aid for Scientific Research (A)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Nagoya University |
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Principal Investigator |
KONDO Shigeyuki Nagoya University, 大学院・多元数理科学研究科, 教授 (50186847)
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| Co-Investigator(Kenkyū-buntansha) |
SHOJI Toshiaki 名古屋大学, 大学院・多元数理科学研究科, 教授 (40120191)
KANNO Hiroaki 名古屋大学, 大学院・多元数理科学研究科, 教授 (90211870)
ITO Yukari 名古屋大学, 大学院・多元数理科学研究科, 准教授 (70285089)
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| Co-Investigator(Renkei-kenkyūsha) |
MUKAI Shigeru 京都大学, 数理解析研究所, 教授 (80115641)
FUJINO Osamu 京都大学, 大学院・理学研究科, 准教授 (60324711)
SHIMADA Ichiro 広島大学, 大学院・理学研究科, 教授 (10235616)
OGUISO Keiji 大阪大学, 大学院・理学研究科, 教授 (40224133)
YOSHIOKA Kota 神戸大学, 大学院・理学部, 教授 (40274047)
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| Project Period (FY) |
2006 – 2009
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| Keywords | 格子 / 保型形式 / モジュライ / K3曲面 / Del Pezzo曲面 / 有界対称領域 |
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| Research Abstract |
The purpose of the research is to study symmetries of algebraic varieties defined as the set of zeros of several polynomials and to describe the moduli of them. To do this, we employ the theory of lattices (a generalization of integral points on the plane) and invariant functions (automorphic functions, forms), which is a key idea of this research. We have obtained several results on symmetries and moduli of interesting algebraic varieties called K3 surfaces and related varieties.
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