Zsolt Patakfalvi, Karl Schwede, Wenliang Zhang
Published 2013-05-07, updated 2016-11-18Version 2
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.
Comments: 60 pages, typos corrected throughout and improved exposition
On the behavior of test ideals under finite morphisms
A survey of test ideals
F-singularities via alterations
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