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Proceedings of the Edinburgh Mathematical Society (1)

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Semi-Normal Log Centres and Deformations of Pairs
János Kollár
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 57 / Issue 1 / February 2014

Published online by Cambridge University Press:

19 December 2013, pp. 191-199
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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 ½, embedded points never appear on the boundary divisor.