Deformations of Log Terminal and Semi Log Canonical Singularities

Deformations of Log Terminal and Semi Log Canonical Singularities

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 [Math. Ann. 271 (1985), 439–449] and S. Ishii [Math. Ann....

Full description

Saved in:
Bibliographic Details
Published in:Forum of mathematics. Sigma Vol. 11
Main Authors: Sato, Kenta, Takagi, Shunsuke
Format: Journal Article
Language:English
Published: Cambridge, UK Cambridge University Press 01-01-2023
Subjects:
14B05
14B07
14F18
Algebraic and Complex Geometry
Deformation
Singularities
14F18
14B07
14B05
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 [Math. Ann. 271 (1985), 439–449] and S. Ishii [Math. Ann. 275 (1986), 139–148; Singularities (Iowa City, IA, 1986) Contemporary Mathematics, vol. 90 (American Mathematical Society, Providence, RI, 1989), 135–145].
ISSN:2050-5094
2050-5094
DOI:10.1017/fms.2023.28