An Aubin continuity path for shrinking gradient Kahler-Ricci solitons

被引：0

作者：

Cifarelli, Charles ^{[1
]}

Conlon, Ronan J. ^{[2
]}

Deruelle, Alix ^{[3
]}

机构：

[1] SUNT Stony Brook, Math Dept, Stony Brook, NY 11794 USA

[2] Univ Texas Dallas, Dept Math Sci, Richardson, TX 75080 USA

[3] Univ Paris Saclay, CNRS, Lab Math Orsay, F-91405 Orsay, France

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2024年 / 2024卷 / 815期

关键词：

MANIFOLDS; GEOMETRY; METRICS;

D O I：

10.1515/crelle-2024-0053

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let D be a toric Kahler-Einstein Fano manifold. We show that any toric shrinking gradient Kahler-Ricci soliton on certain toric blowups of C x D satisfies a complex Monge-Ampere equation. We then set up an Aubin continuity path to solve this equation and show that it has a solution at the initial value of the path parameter. This we do by implementing another continuity method.

引用

页码：229 / 307

页数：79

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