English

Ax-Schanuel condition in arbitrary characteristic

Number Theory 2017-09-22 v3

Abstract

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.

Cite

@article{arxiv.1402.1951,
  title  = {Ax-Schanuel condition in arbitrary characteristic},
  author = {Piotr Kowalski},
  journal= {arXiv preprint arXiv:1402.1951},
  year   = {2017}
}
R2 v1 2026-06-22T03:04:19.673Z