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arXiv · 1803.03325

Deformations of log canonical singularities

János Kollár·Sándor J Kovács
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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.

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János Kollár, Sándor J Kovács. 2018-03-08. Deformations of log canonical singularities. https://arxiv.org/abs/1803.03325

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