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

样章
作者：
[日] Michio Kuga (久贺道郎)
定价：
99.00 元
版面字数：
350.00千字
开本：
16开
装帧形式：
精装
页数：
180
最新
印次时间：
2018年9月
ISBN：
978-7-04-050304-3
物料号：
50304-00
出版时间：
2018年9月
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
  • 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