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arXiv · 1807.07417

Deformations of log canonical and F-pure singularities

János Kollár·Sándor J Kovács
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Abstract

We introduce a lifting property for local cohomology, which leads to a unified treatment of the dualizing complex for flat morphisms with semi-log-canonical, Du Bois or F-pure fibers. As a consequence we obtain that, in all 3 cases, the cohomology sheaves of the relative dualizing complex are flat and commute with base change. We also derive several consequences for deformations of semi-log-canonical, Du Bois and F-pure singularities.

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János Kollár, Sándor J Kovács. 2018-07-17. Deformations of log canonical and F-pure singularities. https://arxiv.org/abs/1807.07417

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