Bounded deformations of (ε, δ) -log canonical singularities

Jingjun Han, Jihao Liu, Joaquin Moraga

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

In this paper we study (ε,δ)-lc singularites, i.e. ε-lc singularities admitting a δ-plt blow-up. We prove that n-dimensional (ε,δ)-lc singularities are bounded up to a deformation, and 2-dimensional (ε,δ)-lc singularities form a bounded family. Furthermore, we give an example which shows that (ε,δ)-lc singularities are not bounded in higher dimensions, even in the analytic sense.

Original languageEnglish (US)
Pages (from-to)1-28
Number of pages28
JournalJournal of Mathematical Sciences (Japan)
Volume27
Issue number1
StatePublished - 2020

Keywords

  • Bounded families
  • Deformations
  • Klt singularities
  • Log discrepancies
  • Plt blow-up

ASJC Scopus subject areas

  • General Mathematics

Fingerprint

Dive into the research topics of 'Bounded deformations of (ε, δ) -log canonical singularities'. Together they form a unique fingerprint.

Cite this