Gabber's presentation lemma for finite fields

Abstract

We give a proof of Gabber's presentation lemma for finite fields. We use ideas from Poonen's proof of Bertini's theorem to prove this lemma in the special case of open subsets of the affine plane. We then reduce the case of general smooth varieties to this special case.

arXiv comment21 pages, corrected several typos and errors, Accepted for publication in Journal für die reine und angewandte Mathematik