Model Theory and Algebraic Geometry | An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture | ISBN 9783540685210

Model Theory and Algebraic Geometry

An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture

herausgegeben von Elisabeth Bouscaren
Buchcover Model Theory and Algebraic Geometry  | EAN 9783540685210 | ISBN 3-540-68521-9 | ISBN 978-3-540-68521-0

Model Theory and Algebraic Geometry

An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture

herausgegeben von Elisabeth Bouscaren

Inhaltsverzeichnis

  • to model theory.
  • to stability theory and Morley rank.
  • Omega-stable groups.
  • Model theory of algebraically closed fields.
  • to abelian varieties and the Mordell-Lang conjecture.
  • The model-theoretic content of Lang’s conjecture.
  • Zariski geometries.
  • Differentially closed fields.
  • Separably closed fields.
  • Proof of the Mordell-Lang conjecture for function fields.
  • Proof of Manin’s theorem by reduction to positive characteristic.