On the Manin-Mumford and Mordell-Lang conjectures in positive characteristic

Details On the Manin-Mumford and Mordell-Lang conjectures in positive characteristic On the Manin-Mumford and Mordell-Lang conjectures in positive characteristic

2011-04-21

arxiv.org/abs/1104.4311v2

Mathematics

Algebraic Geometry

This is a revised form of the article "On the Mordell-Lang conjecture in positive characteristic". Formal schemes are not used

Scientific paper

We prove that in positive characteristic, the Manin-Mumford conjecture
implies the Mordell-Lang conjecture, in the situation where the ambient variety
is an abelian variety defined over the function field of a smooth curve and the
relevant group is finitely generated.

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