Deformations of log canonical and F-pure singularities
Algebraic Geometry
2018-10-23 v2
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.
Keywords
Cite
@article{arxiv.1807.07417,
title = {Deformations of log canonical and F-pure singularities},
author = {János Kollár and Sándor J Kovács},
journal= {arXiv preprint arXiv:1807.07417},
year = {2018}
}
Comments
This is a substantially generalized and expanded version of arXiv:1803.03325 [math.AG]. Version 3: new references added to related works