Abstract
In this chapter we present Hrushovski’s model-theoretic proof of the “relative Mordell-Lang conjecture” (“The Mordell-Lang Conjecture for function fields” [Hr 96]).
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References
A. Buium, Effective bounds for geometric Lang conjecture, Duke J. Math. 71 (1993), 475–499.
F. Delon, Separably closed fields, this volume.
M. Hindry, Introduction to abelian varieties and the Lang Conjecture, this volume.
E. Hrushovski, The Mordell-Lang conjecture for function fields, Journal AMS 9 (1996), 667–690.
E. Hrushovski, Proof of Manin’s theorem by reduction to positive characteristic, this volume.
96] E. Hrushovski and B. Zilber, Zariski Geometries, Journal AMS 9 (1996), 1–56.
D. Lascar, ω-stable groups, this volume.
D. Marker, Zariski geometries, this volume.
A. Pillay, Model theory and diophantine geometry, Bull. Am. Math. Soc. 34 (1997), 405–422.
A. Pillay, Model theory of algebraically closed fields, this volume.
A. Pillay, The model-theoretic content of Lang’s Conjecture, this volume.
C. Wood, Differentially closed fields, this volume.
M. Ziegler, Introduction to Stability theory and Morley rank, this volume.
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© 1998 Springer-Verlag Berlin Heidelberg
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Bouscaren, E. (1998). Proof of the Mordell-Lang conjecture for function fields. In: Bouscaren, E. (eds) Model Theory and Algebraic Geometry. Lecture Notes in Mathematics, vol 1696. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68521-0_10
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DOI: https://doi.org/10.1007/978-3-540-68521-0_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-64863-5
Online ISBN: 978-3-540-68521-0
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