Collected Papers I

1954 - 1966, Springer Collected Works in Mathematics

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Bibliografische Daten
ISBN/EAN: 9781493918096
Sprache: Englisch
Umfang: xx, 795 S.
Auflage: 1. Auflage 2015
Einband: kartoniertes Buch

Beschreibung

InhaltsangabePreface * The articles included in this collection * List of articles * A note on the normalization-theorem of an integral domain * Reduction of algebraic varieties with respect to a discrete valuation of the basic field * On complex multiplications * La fonction [zeta] du corps des fonctions modulaires elliptiques * Correspondances modulaires et les fonctions zeta de courbes algébriques * Modules des variétés abéliennes polarisées et fonctions modulairés * Fonctions automorphes et correspondances modulaires * On the theory of automorphic functions * Sur les intégrales attachées aux formes automorphes * On specializations of abelian varieties (with Shoji Koizumi) * On vector differential forms attached to automorphic forms (with Michio Kuga) * On the zeta functions of the algebraic curves uniformized by certain automorphic functions * On Dirichlet series and abelian varieties attached to automorphic forms * On the class-fields obtained by complex multiplication of abelian varieties * Arithmetic of alternating forms and quaternion hermitian forms * On analytic families of polarized abelian varieties and automorphic functions * On the cohomology groups attached to certain vector valued differential forms on the product of the upper half planes (with Yozo Matsushima) * On modular correspondences for Sp(n, Z) and their congruence relations * On the fields of definition for fields of automorphic functions * Arithmetic of unitary groups * On the field of definition for a field of automorphic functions * Class-fields and automorphic functions * On purely transcendental fields of automorphic functions of several variables * The zeta function of an algebraic variety and automorphic functions * On the field of definition for a field of automorphic functions: II * On the zeta function of a fibre variety whose fibres are abelian varieties (with Michio Kuga) * A reciprocity law in non-solvable extensions * Moduli and fibre systems of abelian varieties * On the field of definition for a field of automorphic functions: III * Moduli of abelian varieties and number theory * Notes

Autorenportrait

InhaltsangabePreface * The articles included in this collection * List of articles * A note on the normalization-theorem of an integral domain * Reduction of algebraic varieties with respect to a discrete valuation of the basic field * On complex multiplications * La fonction [zeta] du corps des fonctions modulaires elliptiques * Correspondances modulaires et les fonctions zeta de courbes algébriques * Modules des variétés abéliennes polarisées et fonctions modulairés * Fonctions automorphes et correspondances modulaires * On the theory of automophic functions * Sur les intégrales attachées aux formes automorphes * On specializations of abelian varieties (with Shoji Koizumi) * On vector differential forms attached to automorphic forms (with Michio Kuga) * On the zeta functions of the algebraic curves uniformized by certain automorphic functions * On Dirichlet series and abelian varieties attached to automorphic forms * On the class-fields obtained by complex multiplication of abelian varieties * Arithmetic of alternating forms and quaternion hermitian forms * On analytic families of polarized abelian varieties and automorphic functions * On the cohomology groups attached to certain vector valued differential forms on the product of the upper half planes (with Yozo Matsushima) * On modular correspondences for Sp(n, Z) and their congruence relations * On the fields of definition for fields of automorphic functions * Arithmetic of unitary groups * On the field of definition for a field of automorphic functions * Class-fields and automorphic functions * On purely transcendental fields of automorphic functions of several variables * The zeta function of an algebraic variety and automorphic functions * On the field of definition for a field of automorphic functions: II * On the zeta function of a fibre variety whose fibres are abelian varieties (with Michio Kuga) * A reciprocity law in non-solvable extensions * Moduli and fibre systems of abelian varieties * On the field ofdefinition for a field of automorphic functions: III * Moduli of abelian varieties and number theory * Notes