The Resource Abelian varieties with complex multiplication and modular functions, Goro Shimura

Abelian varieties with complex multiplication and modular functions, Goro Shimura

Label
Abelian varieties with complex multiplication and modular functions
Title
Abelian varieties with complex multiplication and modular functions
Statement of responsibility
Goro Shimura
Creator
Author
Subject
Language
eng
Summary
  • This subject is closely connected with the zeta function of an abelian variety, which is also covered as a main theme in the book. The third topic explored by Shimura is the various algebraic relations among the periods of abelian integrals
  • Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means of roots of unity, which are special values of exponential functions. A similar theory can be developed for special values of elliptic or elliptic modular functions, and is called complex multiplication of such functions. In 1900, Hilbert proposed the generalization of these as the twelfth of his famous problems. In this book, Goro Shimura provides the most comprehensive generalizations of this type by stating several reciprocity laws in terms of abelian varieties, theta functions, and modular functions of several variables, including Siegel modular functions
Member of
Cataloging source
N$T
Dewey number
514.3
Index
index present
LC call number
QA564
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Princeton mathematical series
Series volume
46
Label
Abelian varieties with complex multiplication and modular functions, Goro Shimura
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
http://library.link/vocab/branchCode
  • net
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Construction of Class Fields
  • Ch. V.
  • The Zeta Function of an Abelian Variety with Complex Multiplication
  • Ch. VI.
  • Families of Abelian Varieties and Modular Functions
  • Ch. VII.
  • Theta Functions and Periods on Abelian Varieties
  • Preface to Complex Multiplication of Abelian Varieties and Its Applications to Number Theory (1961)
  • Ch. I.
  • Preliminaries on Abelian Varieties
  • Ch. II.
  • Abelian Varieties with Complex Multiplication
  • Ch. III.
  • Reduction of Constant Fields
  • Ch. IV.
Control code
ocn948756454
Dimensions
unknown
Extent
1 online resource (xiv, 217 pages)
File format
unknown
Form of item
online
Isbn
9781400883943
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
http://library.link/vocab/ext/overdrive/overdriveId
22573/ctt1bqrs2r
Quality assurance targets
not applicable
http://library.link/vocab/recordID
.b3438635x
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)948756454
  • jstor1400883946

Library Locations

    • Deakin University Library - Geelong Waurn Ponds CampusBorrow it
      75 Pigdons Road, Waurn Ponds, Victoria, 3216, AU
      -38.195656 144.304955
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