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Potentially non-klt locus and its applications

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Title
Potentially non-klt locus and its applications
Author(s)
Sung Rak Choi; Jinhyung Park
Publication Date
2016-10
Journal
MATHEMATISCHE ANNALEN, v.366, no.1-2, pp.141 - 166
Publisher
SPRINGER
Abstract
We introduce the notion of potentially klt pairs for normal projective varieties with pseudoeffective anticanonical divisor. The potentially non-klt locus is a subset of X which is birationally transformed precisely into the non-klt locus on a -K-X-minimal model of X. We prove basic properties of potentially non-klt locus in comparison with those of classical non-klt locus. As applications, we give a new characterization of varieties of Fano type, and we also improve results on the rational connectedness of uniruled varieties with pseudoeffective anticanonical divisor. © Springer-Verlag Berlin Heidelberg 2015
URI
https://pr.ibs.re.kr/handle/8788114/3111
ISSN
0025-5831
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Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
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