Semi-normal log centres and deformations of pairs

János Kollár

doi:10.1017/S0013091513000801

Semi-normal log centres and deformations of pairs

János Kollár

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 language	English (US)
Pages (from-to)	191-199
Number of pages	9
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	57
Issue number	1
DOIs	https://doi.org/10.1017/S0013091513000801
State	Published - Feb 2014

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

deformation of pairs
log canonical centre
semi-normality

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10.1017/S0013091513000801

Cite this

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AB - 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.

KW - deformation of pairs

KW - log canonical centre

KW - semi-normality

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ER -

Semi-normal log centres and deformations of pairs

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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