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.
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页码：229 / 307
页数：79
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