General hyperplane sections of threefolds in positive characteristic

Kenta Sato, Shunsuke Takagi

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1 Citation (Scopus)

Abstract

In this paper, we study the singularities of a general hyperplane section of a three-dimensional quasi-projective variety over an algebraically closed field of characteristic 0]]>. We prove that if has only canonical singularities, then has only rational double points. We also prove, under the assumption that 5]]>, that if has only klt singularities, then so does.

Original languageEnglish
Pages (from-to)647-661
Number of pages15
JournalJournal of the Institute of Mathematics of Jussieu
Volume19
Issue number2
DOIs
Publication statusPublished - Mar 1 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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