Gabber's presentation lemma for finite fields
Algebraic Geometry
2018-07-04 v3
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.
Cite
@article{arxiv.1612.09393,
title = {Gabber's presentation lemma for finite fields},
author = {Amit Hogadi and Girish Kulkarni},
journal= {arXiv preprint arXiv:1612.09393},
year = {2018}
}
Comments
21 pages, corrected several typos and errors, Accepted for publication in Journal f\"ur die reine und angewandte Mathematik