Bertini theorems for F-singularities
Algebraic Geometry
2014-02-26 v5 Commutative Algebra
Abstract
We prove that strongly F-regular and F-pure singularities satisfy Bertini-type theorems (including in the context of pairs) by building upon a framework of Cumino, Greco and Manaresi (compare with the work of Jouanolou and Spreafico). We also prove that F-injective singularities fail to satisfy even the most basic Bertini-type results.
Cite
@article{arxiv.1112.2161,
title = {Bertini theorems for F-singularities},
author = {Karl Schwede and Wenliang Zhang},
journal= {arXiv preprint arXiv:1112.2161},
year = {2014}
}
Comments
Typos corrected and other minor changes. To appear in the Proceedings of the London Mathematical Society