rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Complex Abelian Varieties
  name:
    name part: Lange, Herbert.
    role:
      role term: creator
  name:
    name part: Birkenhake, Christina.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1992
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (viii, 435 pages)
  abstract: Abelian varieties are special examples of projective varieties. As such theycan be described by a set of homogeneous polynomial equations. The theory ofabelian varieties originated in the beginning of the ninetheenth centrury with the work of Abel and Jacobi. The subject of this book is the theory of abelian varieties over the field of complex numbers, and it covers the main results of the theory, both classic and recent, in modern language. It is intended to give a comprehensive introduction to the field, but also to serve as a reference. The focal topics are the projective embeddings of an abelian variety, their equations and geometric properties. Moreover several moduli spaces of abelian varieties with additional structure are constructed. Some special results onJacobians and Prym varieties allow applications to the theory of algebraic curves. The main tools for the proofs are the theta group of a line bundle, introduced by Mumford, and the characteristics, to be associated to any nondegenerate line bundle. They are a direct generalization of the classical notion of characteristics of theta functions.
  note: by Herbert Lange, Christina Birkenhake.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Geometry, Algebraic
  subject:
    topic: Number theory
  subject:
    topic: Geometry, Algebraic
  subject:
    topic: Mathematics
  subject:
    topic: Number theory
  classification: QA564-609
  classification: 516.35
  related item:
    title info:
      title: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 302
  identifier: 9783662027882 (electronic bk.)
  identifier: 3662027887 (electronic bk.)
  identifier: 9783662027905
  identifier: 3662027909
  identifier: 3662027887
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 130220
    record change date: 20260423142120.2
    record identifier: in00003569699
    language of cataloging:
      language term: eng