Deformations of log terminal and semi log canonical singularities

Abstract

In this paper, we prove that klt singularities are invariant under deformations if the generic fiber is $\mathbb{Q}$-Gorenstein. We also obtain a similar result for slc singularities. These are generalizations of results of Esnault-Viehweg and S. Ishii.

42pages; v2: minor changes. arXiv admin note: text overlap with arXiv:2103.03721