K-STABILITY FOR FANO MANIFOLDS WITH TORUS ACTION OF COMPLEXITY 1

被引：25
|
作者：
Ilten, Nathan [1 ]
Suss, Hendrik [2 ]
机构：
[1] Simor Fraser Univ, Dept Math, Burnaby, BC, Canada
[2] Univ Manchester, Sch Math, Manchester, Lancs, England
来源：
DUKE MATHEMATICAL JOURNAL | 2017年 / 166卷 / 01期
关键词：
KAHLER-EINSTEIN METRICS; T-VARIETIES; RICCI SOLITONS; INVARIANT; SINGULARITIES; DIVISORS; LIMITS; 2-PI;
D O I：
10.1215/00127094-3714864
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider Fano manifolds admitting an algebraic torus action with general orbit of codimension 1. Using a recent result of Datar and Szekelyhidi, we effectively determine the existence of Kahler-Ricci solitons for those manifolds via the notion of equivariant K-stability. This allows us to give new examples of Kahler-Einstein Fano threefolds and Fano threefolds admitting a nontrivial Kahler-Ricci soliton.
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页码：177 / 204
页数：28
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