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- Title
F-SINGULARITIES VIA ALTERATIONS.
- Authors
BLICKLE, MANUEL; SCHWEDE, KARL; TUCKER, KEVIN
- Abstract
We give characterizations of test ideals and F-rational singularities via (regular) alterations. Formally, the descriptions are analogous to standard characterizations of multiplier ideals and rational singularities in characteristic zero via log resolutions. Lastly, we establish Nadel-type vanishing theorems (up to finite maps) for test ideals, and further demonstrate how these vanishing theorems may be used to extend sections.
- Subjects
MATHEMATICAL singularities; FREE resolutions (Algebra); VANISHING theorems; ALGEBRA; RATIONAL numbers
- Publication
American Journal of Mathematics, 2015, Vol 137, Issue 1, p61
- ISSN
0002-9327
- Publication type
Article
- DOI
10.1353/ajm.2015.0000