Log-canonical models of singular pairs and its applications
Algebraic Geometry
2012-01-04 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1108.1996,
title = {Log-canonical models of singular pairs and its applications},
author = {Yuji Odaka and Chenyang Xu},
journal= {arXiv preprint arXiv:1108.1996},
year = {2012}
}
Comments
9pages, v2: final version (made minor revision), to appear on Mathematical Research Letters