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: Model theory and algebraic geometry
    sub title: an introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture
  title info:
    title: Hrushovski's proof of the geometric Mordell-Lang conjecture
  name:
    name part: Bouscaren, Elisabeth
    name part: 1956-
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1998
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xv, 211 pages) : illustrations.
  abstract: This introduction to the recent exciting developments in the applications of model theory to algebraic geometry, illustrated by E. Hrushovski's model-theoretic proof of the geometric Mordell-Lang Conjecture starts from very basic background and works up to the detailed exposition of Hrushovski's proof, explaining the necessary tools and results from stability theory on the way. The first chapter is an informal introduction to model theory itself, making the book accessible (with a little effort) to readers with no previous knowledge of model theory. The authors have collaborated closely to achieve a coherent and self- contained presentation, whereby the completeness of exposition of the chapters varies according to the existence of other good references, but comments and examples are always provided to give the reader some intuitive understanding of the subject.
  table of contents: Introduction to model theory / Elisabeth Bouscaren -- Introduction to stability theory and Morley rank / Martin Ziegler -- Omega-stable groups / Daniel Lascar -- Model theory of algebraically closed fields / Anand Pillay -- Introduction to abelian varieties and the Mordell-Lang conjecture / Marc Hindry -- The model-theoretic content of Lang's conjecture / Anand Pillay -- Zariski geometries / David Marker -- Differentially closed fields / Carol Wood -- Separably closed fields / Françoise Delon -- Proof of the Mordell-Lang conjecture for function fields / Elisabeth Bouscaren --Proof of Manin's theorem by reduction to positive characteristic / Ehud Hrushovski.
  note: Elisabeth Bouscaren (ed.).
  note: Electronic resource.
  note: Includes bibliographical references and index.
  subject:
    topic: Model theory
  subject:
    topic: Arithmetical algebraic geometry
  subject:
    topic: Mordell conjecture
  subject:
    topic: Arithmetical algebraic geometry
  subject:
    topic: Model theory
  subject:
    topic: Mordell conjecture
  classification: QA3 .L28 no. 1696
  classification: 510 s 511/.8
  related item:
    title info:
      title: Model theory and algebraic geometry
    origin info:
      publisher: Berlin ; New York : Springer, ©1998
    identifier: (DLC) 98038720
    identifier: (OCoLC)39659041
  related item:
    title info:
      title: Lecture notes in mathematics (Springer-Verlag) ; 1696
  identifier: 9783540685210 (electronic bk.)
  identifier: 3540685219 (electronic bk.)
  identifier: 3540648631
  identifier: 9783540648635
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: BUF
    record creation date: 070731
    record change date: 20260422221348.4
    record identifier: in00003509374
    language of cataloging:
      language term: eng