Collected Papers: Volume I: 1954–1966

Content: 
Front Matter....Pages i-xx
A note on the normalization-theorem of an integral domain....Pages 1-8
Reduction of algebraic varieties with respect to a discrete valuation of the basic field....Pages 9-51
On complex multiplications....Pages 52-59
La fonction ζ du corps des fonctions modulaires elliptiques....Pages 60-62
Correspondances modulaires et les fonctions zeta de courbes algébriques....Pages 63-90
Modules des variétés abéliennes polarisées et fonctions modulaires....Pages 91-114
Fonctions automorphes et correspondances modulaires....Pages 115-123
On the theory of automorphic functions....Pages 124-167
Sur les intégrales attachées aux formes automorphes....Pages 168-188
On specializations of abelian varieties....Pages 189-213
On vector differential forms attached to automorphic forms....Pages 214-226
On the zeta functions of the algebraic curves uniformized by certain automorphic functions....Pages 227-283
On Dirichlet series and abelian varieties attached to automorphic forms....Pages 284-341
On the class-fields obtained by complex multiplication of abelian varieties....Pages 342-353
Arithmetic of alternating forms and quaternion hermitian forms....Pages 354-386
On analytic families of polarized abelian varieties and automorphic functions....Pages 387-430
On the cohomology groups attached to certain vector valued differential forms on the product of the upper half planes....Pages 431-463
On modular correspondences for Sρ(n, Z) and their congruence relations....Pages 464-468
On the fields of definition for fields of automorphic functions....Pages 469-472
Arithmetic of unitary groups....Pages 473-513
On the field of definition for a field of automorphic functions....Pages 514-543
Class-fields and automorphic functions....Pages 544-563
On purely transcendental fields of automorphic functions of several variables....Pages 564-577
The zeta function of an algebraic variety and automorphic functions....Pages 578-590
On the field of definition for a field of automorphic functions: II....Pages 591-632
On the zeta funciton of a fibre variety whose fibres are abelian varieties....Pages 633-694
A reciprocity law in non-solvable extensions....Pages 695-706
Moduli and fibre systems of abelian varieties....Pages 707-751
On the field of definition for a field of automorphic functions: III....Pages 752-760
Moduli of abelian varieties and number theory....Pages 761-781
Back Matter....Pages 783-795