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The Mordell-Lang conjecture for function fields

Author(s): Ehud Hrushovski
Journal: J. Amer. Math. Soc. 9 (1996), 667-690.
MSC (1991): Primary 03C45, 11G10; Secondary 03C60, 14G05, 12H05
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Abstract: We give a proof of the geometric Mordell-Lang conjecture, in any characteristic. Our method involves a model-theoretic analysis of the kernel of Manin's homomorphism and of a certain analog in characteristic $p$.

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Additional Information:

Ehud Hrushovski
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, 2-277, Cambridge, Massachusetts 02139
Address at time of publication: Department of Mathematics, Hebrew University, Jerusalem, Israel
Email: ehud@math.mit.edu

DOI: 10.1090/S0894-0347-96-00202-0
PII: S 0894-0347(96)00202-0
Received by editor(s): September 1, 1993
Received by editor(s) in revised form: November 1, 1994
Additional Notes: The author was supported by the National Science Foundation
Copyright of article: Copyright 1996, American Mathematical Society

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