Potentially non-klt locus and its applications

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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.
Publisher
SPRINGER HEIDELBERG
Issue Date
2016-10
Language
English
Article Type
Article
Citation

MATHEMATISCHE ANNALEN, v.366, no.1-2, pp.141 - 166

ISSN
0025-5831
DOI
10.1007/s00208-015-1317-6
URI
http://hdl.handle.net/10203/295171
Appears in Collection
MA-Journal Papers(저널논문)
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