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Existence of log canonical closures.
- Source :
-
Inventiones Mathematicae . Apr2013, Vol. 192 Issue 1, p161-195. 35p. - Publication Year :
- 2013
-
Abstract
- Let f: X→ U be a projective morphism of normal varieties and ( X, Δ) a dlt pair. We prove that if there is an open set U⊂ U, such that ( X, Δ)× U has a good minimal model over U and the images of all the non-klt centers intersect U, then ( X, Δ) 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00209910
- Volume :
- 192
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Inventiones Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 86052234
- Full Text :
- https://doi.org/10.1007/s00222-012-0409-0