Theta functions on the bounded symmetric domain of type Ⅰ[2,2] and the period map of a 4-parameter family of K3 surfaces Ⅰ[2,2]型有界対称領域上のテータ関数と或る4次元K3曲面族の周期写像
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Bibliographic Information
- Title
-
Theta functions on the bounded symmetric domain of type Ⅰ[2,2] and the period map of a 4-parameter family of K3 surfaces
- Other Title
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Ⅰ[2,2]型有界対称領域上のテータ関数と或る4次元K3曲面族の周期写像
- Author
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松本, 圭司, 1969-
- Author(Another name)
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マツモト, ケイジ
- University
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九州大学
- Types of degree
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博士 (理学)
- Grant ID
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乙第5273号
- Degree year
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1992-10-27
Note and Description
博士論文
Table of Contents
- Contents / p1 (0003.jp2)
- Introduction. / p2 (0003.jp2)
- 1.Discrete subgroups acting on some symmetric domains. / p6 (0005.jp2)
- 1.1.The symmetric domain H₂ of type I₂,₂. / p6 (0005.jp2)
- 1.2.Some discrete subgroups of Aut(H₂). / p8 (0006.jp2)
- 1.3.The symmetric domain DIV of type IV. / p10 (0007.jp2)
- 1.4.Some discrete subgroups of Aut(DIV). / p12 (0008.jp2)
- 1.5.Isomorphisms between discrete subgruops of Aut(H₂) and those Of Aut(DIV). / p14 (0009.jp2)
- 2.Theta functions on H₂. / p16 (0010.jp2)
- 2.1.Definition and basic properties of theta functions on H₂. / p16 (0010.jp2)
- 2.2.Quadratic relations among the ten theta functions. / p19 (0012.jp2)
- 2.3.Coding theta functions. / p20 (0012.jp2)
- 3.Modular forms. / p23 (0014.jp2)
- 3.1.Modular forms on H₂. / p23 (0014.jp2)
- 3.2.Modular varieties. / p26 (0015.jp2)
- 4.Relations with the period map of a family of K3 surfaces. / p29 (0017.jp2)
- 4.1.A family of K3 surfaces. / p29 (0017.jp2)
- 4.2.The period map. / p30 (0017.jp2)
- 4.3.Realization of X(3,6). / p31 (0018.jp2)
- 4.4.Relations between the modular forms and the period map. / p34 (0019.jp2)
- References. / p35 (0020.jp2)