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Kuga Varieties:Fiber Varieties over a Symmetric Space Whose Fibers Are Abelian V


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

暂无
  • 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