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出版时间:2018-09

出版社:高等教育出版社

以下为《Kuga簇(英文版)》的配套数字资源,这些资源在您购买图书后将免费附送给您:
  • 高等教育出版社
  • 9787040503043
  • 1版
  • 227559
  • 46253997-4
  • 精装
  • 16开
  • 2018-09
  • 350
  • 180
  • 理学
  • 数学
  • O187.2
  • 数学类
  • 研究生及以上
目录

 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