1.

Record Nr.

UNINA9910146306203321

Titolo

Model theory and algebraic geometry : an introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture / / Elisabeth Bouscaren, editor

Pubbl/distr/stampa

Berlin ; ; Heidelberg : , : Springer Verlag, , [1998]

©1998

ISBN

3-540-68521-9

Edizione

[1st ed. 1998.]

Descrizione fisica

1 online resource (XVI, 216 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 1696

Classificazione

03C60

Disciplina

516.35

Soggetti

Arithmetical algebraic geometry

Model theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references at the end of each chapters and index.

Nota di contenuto

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.