Existence of log canonical closures
成果类型：
Article
署名作者：
Hacon, Christopher D.; Xu, Chenyang
署名单位：
Utah System of Higher Education; University of Utah
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-012-0409-0
发表日期：
2013
页码：
161-195
关键词：
摘要：
Let f:X -> U be a projective morphism of normal varieties and (X,Delta) a dlt pair. We prove that if there is an open set U (0)aS,U, such that (X,Delta)x (U) U (0) has a good minimal model over U (0) and the images of all the non-klt centers intersect U (0), then (X,Delta) has a good minimal model over U. As consequences we show the existence of log canonical compactifications for open log canonical pairs, and the fact that the moduli functor of stable schemes satisfies the valuative criterion for properness.