F-singularities in families
Algebraic Geometry
2017-10-04 v3 Commutative Algebra
Abstract
We study the behavior of test ideals and F-singularities in families. In particular, we obtain generic (and non-generic) restriction theorems for test ideals and non-F-pure ideals. Additionally, we study the global behavior of certain canonical linear systems (induced by Frobenius) associated to adjoint line bundles, in families. As a consequence, we obtain some positivity results for pushforwards of some adjoint line bundles and for certain subsheaves of these.
Cite
@article{arxiv.1305.1646,
title = {F-singularities in families},
author = {Zsolt Patakfalvi and Karl Schwede and Wenliang Zhang},
journal= {arXiv preprint arXiv:1305.1646},
year = {2017}
}
Comments
60 pages, typos corrected throughout and improved exposition, to appear in Algebraic Geometry