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A positive characteristic Manin–Mumford theorem

Published online by Cambridge University Press:  04 December 2007

Thomas Scanlon
Thomas Scanlon
Affiliation:
Department of Mathematics, University of California, Berkeley, Evans Hall, Berkeley, CA 94720-3840, USAscanlon@math.berkeley.edu
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Abstract

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We present the details of a model-theoretic proof of an analogue of the Manin–Mumford conjecture for semiabelian varieties in positive characteristic. As a by-product of the proof we reduce the general positive-characteristic Mordell–Lang problem to a question about purely inseparable points on subvarieties of semiabelian varieties.

Keywords

semiabelian varietiesmodular groupstorsion pointsdifference fields03C6011G1012H10

Information

Type
Research Article
Information
Compositio Mathematica , Volume 141 , Issue 6 , November 2005 , pp. 1351 - 1364
Copyright
Foundation Compositio Mathematica 2005