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Kuga Varieties:Fiber Varieties over a Symmetric Space Whose Fibers Are Abelian V
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Kuga Varieties:Fiber Varieties over a Symmetric Space Whose Fibers Are Abelian V
样章
作者:
[日] Michio Kuga (久贺道郎)
定价:
99.00元
ISBN:
978-7-04-050304-3
版面字数:
350.000千字
开本:
16开
全书页数:
暂无
装帧形式:
精装
重点项目:
暂无
出版时间:
2018-09-25
读者对象:
学术著作
一级分类:
自然科学
二级分类:
数学与统计
三级分类:
通用
购买:
样章阅读
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前辅文
Volume I
Chapter I Vector bundle valued harmonic forms
1 An analogy of de Rham’s theorem
2 Harmonic ρ-forms
3 The type decomposition of harmonic ρ-forms
4 Mountjoy’s abelian varieties
5 Commutativity with ¢A
6 Proof of commutativity theorems
7 A wider frame: spherical functions
8 An example: G = SL(2,R)
9 Other examples, and discussions
Chapter II Fibre variety over a symmetric space whose fibres are abelian varieties
1 A fibre bundle V π −→U
2 Cohomology groups of V (Part I)
3 Cohomology groups of V (Part II)
4 Up-side-down operator θ, and the θ-invariant subspaces of H2(V )
5 Fibre variety over a symmetric space whose fibres are abelian varieties
6 Algebraic family of polarized abelian varieties
7 Minimality of quotient varieties
Appendix I A letter of AndréWeil
Appendix II Holomorphic imbeddings of symmetric domains into a Siegel space
References for volume I
Volume II
Chapter III Hecke operators
1 Goldman adelilzation
2 Hecke operator operating on Hp (X,Γ,ρ) etc
3 Hecke operator operating on (X ×F)
4 Hecke operators as algebraic correspondences
Chapter IV Number theory of automorphic forms
1 A fibre variety over an algebraic curveU = Γ\X
2 Harmonic forms on V , and the trace formulas
3 Zeta-function of e V p
4 Congruence Artin - L-functions
5 Hecke polynomials as L-functions
References for volume II
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