Collected Papers I: 1954 – 1966: Springer Collected Works in Mathematics
Autor Goro Shimuraen Limba Engleză Paperback – 17 oct 2014
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Specificații
ISBN-13: 9781493918096
ISBN-10: 1493918095
Pagini: 816
Ilustrații: XX, 795 p.
Dimensiuni: 155 x 235 x 45 mm
Greutate: 1.12 kg
Ediția:2002. Reprint 2014 of the 2002 edition
Editura: Springer
Colecția Springer
Seria Springer Collected Works in Mathematics
Locul publicării:New York, NY, United States
ISBN-10: 1493918095
Pagini: 816
Ilustrații: XX, 795 p.
Dimensiuni: 155 x 235 x 45 mm
Greutate: 1.12 kg
Ediția:2002. Reprint 2014 of the 2002 edition
Editura: Springer
Colecția Springer
Seria Springer Collected Works in Mathematics
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
[54] A note on the normalization-theorem of an integral domain.- [55] Reduction of algebraic varieties with respect to a discrete valuation of the basic field.- [56] On complex multiplications.- [57a] La function ? du corps des fonctions modulaires elliptiques.- [58a] Correspondances modulaires et les fonctions zeta de courbes algébriques.- [58b] Modules des variétés abéliennes polarisées et fonctions modulaires.- [59a] Fonctions automorphes et correspondances modulaires.- [59b] On the theory of automorphic functions.- [59c] Sur les intégrales attachées aux formes automorphes.- [59d] On specializations of abelian varieties (with Shoji Koizumi).- [60a] On vector differential forms attached to automorphic forms (with Michio Kuga).- [61b] On the zeta functions of the algebraic curves uniformized by certain automorphic functions.- [62a] On Dirichlet series and abelian varieties attached to automorphic forms.- [62b] On the class-fields obtained by complex multiplication of abelian varieties.- [63a] Arithmetic of alternating forms and quaternion hermitian forms.- [63b] On analytic families of polarized abelian varieties and automorphic functions.- [63c] On the cohomology groups attached to certain vector valued differential forms on the product of the upper half planes (with Yozo Matsushima).- [63d] On modular correspondences for Sp(n, Z) and their congruence relations.- [63e] On the fields of definition for fields of automorphic functions.- [64a] Arithmetic of unitary groups.- [64b] On the field of definition for a field of automorphic functions.- [64c] Class-fields and automorphic functions.- [64d] On purely transcendental fields of automorphic functions of several variables.- [64e] The zeta function of an algebraic variety and automorphic functions.- [65a] On the field of definition for a field of automorphic functions: II.- [65b] On the zeta function of a fibre variety whose fibres are abelian varieties (with Michio Kuga).- [66a] A reciprocity law in non-solvable extensions.- [66b] Moduli and fibre systems of abelian varieties.- [66c] On the field of definition for a field of automorphic functions: III.- [66d] Moduli of abelian varieties and number theory.- Notes I.
Recenzii
From the reviews:
"This book is the first in a row of four announced volumes. It covers the period 1954-1966 during which Goro Shimura produced more than thirty publications. … Important contributions concerning the zeta function of an algebraic variety and automorphic functions are featured. … the mimeographed 1964 lecture notes by Shimura appear in a final form. They are completed by fascinating historical notes and comments made by the author … ." (Jean-Paul Pier, Zentralblatt MATH, Vol. 1008, 2003)
"This book is the first in a row of four announced volumes. It covers the period 1954-1966 during which Goro Shimura produced more than thirty publications. … Important contributions concerning the zeta function of an algebraic variety and automorphic functions are featured. … the mimeographed 1964 lecture notes by Shimura appear in a final form. They are completed by fascinating historical notes and comments made by the author … ." (Jean-Paul Pier, Zentralblatt MATH, Vol. 1008, 2003)