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arxiv: 1402.1951 · v3 · pith:VBSOIWIFnew · submitted 2014-02-09 · 🧮 math.NT

Ax-Schanuel condition in arbitrary characteristic

classification 🧮 math.NT
keywords algebraicax-schanuelcharacteristicgroupanalyticarbitraryconditioncontext
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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.

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