Collected Papers I
1954 - 1966
Published on 17. October 2014
Book
Paperback/Softback
XX, 795 pages
978-1-4939-1809-6 (ISBN)
Description
In 1996 the AMS awarded Goro Shimura the Steele Prize for Lifetime Achievement :" To Goro Shimura for his important and extensive work on arithmetical geometry and automorphic forms; concepts introduced by him were often seminal, and fertile ground for new developments, as witnessed by the many notations in number theory that carry his name and that have long been familiar to workers in the field.." 103 of Shimura´s most important papers are collected in four volumes. Volume I contains his mathematical papers from 1954 to 1966 and some notes to the articles.
Reviews / Votes
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)
More details
Series
Edition
2002. Reprint 2014 of the 2002 edition
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
XX, 795 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 44 mm
Weight
1212 gr
ISBN-13
978-1-4939-1809-6 (9781493918096)
DOI
10.1007/978-1-4612-2074-9
Schweitzer Classification
Other editions
Additional editions
Book
10/2011
Springer
€123.00
Article exhausted; check different version
Book
09/2002
Springer
€139.09
Article exhausted; check different version
Person
Goro Shimura is currently a professor emeritus of mathematics at Princeton University.
Content
[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.