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.

引用

收藏

页码：177 / 204

页数：28

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