arxiv: 1803.03325 · v2 · pith:CT2SRGNFnew · submitted 2018-03-08 · 🧮 math.AG

Deformations of log canonical singularities

J\'anos Koll\'ar , S\'andor J Kov\'acs This is my paper

classification 🧮 math.AG

keywords singularitiesboisdeformationsfamilyflatsemi-log-canonicalassumedbase

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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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Deformations of log canonical singularities

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