Log-canonical models of singular pairs and its applications

Details Log-canonical models of singular pairs and its applications Log-canonical models of singular pairs and its applications

2011-08-09

arxiv.org/abs/1108.1996v2

Mathematics

Algebraic Geometry

9pages, v2: final version (made minor revision), to appear on Mathematical Research Letters

Scientific paper

We prove the existence of log canonical modifications for a log pair. As an
application, together with Koll\"ar's gluing theory, we remove the assumption
in the first named author's work [Odaka11], which shows that K-semistable
polarized varieties can only have semi-log-canonical singularities.

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