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Preprint Number 687

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687. Piotr Kowalski
Ax-Schanuel condition in arbitrary characteristic

Submission date: 10 February 2014.


We prove a positive characteristic version of Ax's theorem on the intersection of an algebraic subvariety and an analytic subgroup of an algebraic group. Our result is stated in a more general context of a formal map between an algebraic variety and an algebraic group. We derive transcendence results of Ax-Schanuel type.

Mathematics Subject Classification: 11J91, 12H05

Keywords and phrases:

Full text arXiv 1402.1951: pdf, ps.

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