English

Deformations of log terminal and semi log canonical singularities

Algebraic Geometry 2022-07-05 v2 Commutative Algebra

Abstract

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

Keywords

Cite

@article{arxiv.2204.04400,
  title  = {Deformations of log terminal and semi log canonical singularities},
  author = {Kenta Sato and Shunsuke Takagi},
  journal= {arXiv preprint arXiv:2204.04400},
  year   = {2022}
}

Comments

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