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Log-canonical models of singular pairs and its applications

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arxiv 1108.1996 v2 pith:EIOYO6FE submitted 2011-08-09 math.AG

Log-canonical models of singular pairs and its applications

classification math.AG
keywords applicationapplicationsassumptionauthorcanonicalexistencefirstgluing
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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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