F-singularities in families
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2013
- DOI:
- 10.48550/arXiv.1305.1646
- arXiv:
- arXiv:1305.1646
- Bibcode:
- 2013arXiv1305.1646P
- Keywords:
-
- Mathematics - Algebraic Geometry;
- Mathematics - Commutative Algebra;
- 14B05;
- 13A35;
- 14D05;
- 14F18;
- 13B40
- E-Print:
- 60 pages, typos corrected throughout and improved exposition, to appear in Algebraic Geometry