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Preprint Number 1420

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1420. Dragos Ghioca, Fei Hu, Thomas Scanlon and Umberto Zannier
A variant of the Mordell-Lang conjecture
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Submission date: 27 April 2018

Abstract:

The Mordell-Lang conjecture (proven by Faltings, Vojta and McQuillan) states that the intersection of a subvariety V of a semiabelian variety G defined over an algebraically closed field K of characteristic 0 with a finite rank subgroup U is a finite union of cosets of subgroups of U. We explore a variant of this conjecture when G is a product of an abelian variety A defined over K with the additive group G_a.

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Full text arXiv 1804.10561: pdf, ps.


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