Log-canonical models of singular pairs and its applications
arXiv:1108.1996
Abstract
We prove the existence of log canonical modifications for a log pair. As an application, together with Kollär'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.
9pages, v2: final version (made minor revision), to appear on Mathematical Research Letters