Model theory and algebraic geometry : an introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture / Elisabeth Bouscaren
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1696Langue : anglais.Éditeur : Berlin : Springer, 1998ISBN: 9783540648635.ISSN: 1617-9692.Sujet MSC : 03C60, Mathematical logic and foundations - Model theory, Model-theoretic algebra14G05, Arithmetic problems in algebraic geometry. Diophantine geometry, Rational points
03C45, Mathematical logic and foundations - Model theory, Classification theory, stability and related concepts
14K15, Abelian varieties and schemes, Arithmetic ground fields for abelian varieties
11G10, Arithmetic algebraic geometry (Diophantine geometry), Abelian varieties of dimension >1En-ligne : Springerlink | Zentralblatt
Contents: Elisabeth Bouscaren, Introduction to model theory (1–18); Martin Ziegler, Introduction to stability theory and Morley rank (19–44); Daniel Lascar, Omega-stable groups (45–59); Anand Pillay, Model theory of algebraically closed fields (61–84); Marc Hindry, Introduction to abelian varieties and the Mordell-Lang conjecture (85–100); Anand Pillay, The model-theoretic content of Lang's conjecture (101–106); David Marker, Zariski geometries (107–128); Carol Wood, Differentially closed fields (129–141); Françoise Delon, Separably closed fields (143–176); Elisabeth Bouscaren, Proof of the Mordell-Lang conjecture for function fields (177–196); Ehud Hrushovski, Proof of Manin's theorem by reduction to positive characteristic (197–205).
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