Kuga Varieties:Fiber Varieties over a Sy
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作者[日] Michio Kuga (道郎久賀)
出版社高等教育出版社
ISBN9787040503043
出版时间2018-09
装帧精装
开本16开
定价99元
货号25479434
上书时间2024-11-20
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导语摘要
目录
Volume I
Chapter I Vector bundle valued harmonic forms
1 An analogy of de Rham's theorem
2 Harmonic p-forms
3 The type decomposition of harmonic p-forms
4 Mountjoy's abelian varieties
5 Commutativity with AA
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 O, and the O-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 Aletter of Andre Well
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,T, p) etc
3 Hecke operator operating on Ω(X x F)
4 Hecke operators as algebraic correspondences
Chapter IV Number theory of automorphic forms
1 A fibre variety over an algebraic curve U = T \X
2 Harmonic forms on V, and the trace formulas
3 Zeta-function of VP
4 Congruence Artin - L-functions
5 Hecke polynomials as L-functions
References for volume II
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