Semi-normal log centres and deformations of pairs

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Abstract

We show that some of the properties of log canonical centres of a log canonical pair also hold for certain subvarieties that are close to being a log canonical centre. As a consequence, we obtain that, in working with deformations of pairs where all the coefficients of the boundary divisor are bigger than 1/2, embedded points never appear on the boundary divisor.

Original languageEnglish (US)
Pages (from-to)191-199
Number of pages9
JournalProceedings of the Edinburgh Mathematical Society
Volume57
Issue number1
DOIs
StatePublished - Feb 2014

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • deformation of pairs
  • log canonical centre
  • semi-normality

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