Kuga簇是对称空间上的纤维簇，它的纤维是Abel簇。在Shimura簇和数论中，Kuga簇发挥了重要的作用。久贺道郎著季理真主编的《Kuga簇(英文版)(精)》首次系统地阐述了这些簇。本书共4章。第1章给出了到向量调和形式的详细推广。这些结果应用于第2章构造Kuga簇并理解其上的同调群。第3章研究模形式中最基本的Hecke算子。所有以前的结果应用在第4章证明Kuga簇的模块化性质。注意椭圆曲线的模块化性质是Wiles关于费马大定理证明的关键。本书还包含了Weil的一封信和Satake的一篇文章，很切合这本书的主题。

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