Deformations of log canonical singularities
Algebraic Geometry
2018-07-26 v2
Abstract
We prove that the cohomology sheaves of the relative dualizing complex of a flat family of varieties with semi-log-canonical or Du Bois singularities are flat and commute with base change. This is a local version of our earlier similar result where the family was assumed to be projective. We also derive several consequences for deformations of semi-log-canonical and of Du Bois singularities.
Cite
@article{arxiv.1803.03325,
title = {Deformations of log canonical singularities},
author = {János Kollár and Sándor J Kovács},
journal= {arXiv preprint arXiv:1803.03325},
year = {2018}
}
Comments
The results of this paper are now contained in a new, substantially expanded version entitled "Deformations of log canonical and F-pure singularities"