On the classification of Kahler-Ricci solitons on Gorenstein del Pezzo surfaces

被引：6

作者：

Cable, Jacob ^{[1
]}

Suss, Hendrik ^{[1
]}

机构：

[1] Univ Manchester, Fac Sci & Engn, Sch Math, Alan Turing Bldg,Oxford Rd, Manchester M13 9PL, Lancs, England

来源：

EUROPEAN JOURNAL OF MATHEMATICS | 2018年 / 4卷 / 01期

关键词：

K-Stability; Kahler-Ricci solitons; T-Variety; Torus action; Fano variety;

D O I：

10.1007/s40879-017-0204-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a classification of all pairs (X, xi) of Gorenstein del Pezzo surfaces X and vector fields xi which are K-stable in the sense of Berman-Witt-Nystrom and therefore are expected to admit a Kahler-Ricci solition. Moreover, we provide some new examples of Fano threefolds admitting a Kahler-Ricci soliton.

引用

页码：137 / 161

页数：25

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