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 - KX-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.
| Original language | English |
|---|---|
| Pages (from-to) | 141-166 |
| Number of pages | 26 |
| Journal | Mathematische Annalen |
| Volume | 366 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 2016 Oct 1 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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Potentially non-klt locus and its applications. / Choi, Sung Rak; Park, Jinhyung.
In: Mathematische Annalen, Vol. 366, No. 1-2, 01.10.2016, p. 141-166.Research output: Contribution to journal › Article
TY - JOUR
T1 - Potentially non-klt locus and its applications
AU - Choi, Sung Rak
AU - Park, Jinhyung
PY - 2016/10/1
Y1 - 2016/10/1
N2 - 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 - KX-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.
AB - 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 - KX-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.
UR - http://www.scopus.com/inward/record.url?scp=84945244008&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84945244008&partnerID=8YFLogxK
U2 - 10.1007/s00208-015-1317-6
DO - 10.1007/s00208-015-1317-6
M3 - Article
AN - SCOPUS:84945244008
VL - 366
SP - 141
EP - 166
JO - Mathematische Annalen
JF - Mathematische Annalen
SN - 0025-5831
IS - 1-2
ER -