Year: 2013
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Patakfalvi, Zsolt, Schwede, Karl, Zhang, Wenliang
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: Singularities in Characteristic Zero and Singularities in Positive Characteristic, CAREER: Test Ideals and the Geometry of Projective Varieties in Positive Characteristic, G4589787539, Mathematical Sciences Research Institute 5-Year Proposal, FRG: Collaborative Research: Birational Geometry and Singularities in Zero and Positive Characteristic, G6671297155, FRG: Collaborative Research: Birational Geometry and Singularities in Zero and Positive Characteristic, Some Questions in Commutative Algebra, G7524616938, G7568280699, Some Questions in Commutative Algebra, CAREER: Test Ideals and the Geometry of Projective Varieties in Positive Characteristic, Some Questions in Commutative Algebra
OpenAlex ID: W1578269486