The moduli space of Fano manifolds with Kahler-Ricci solitons

被引：11

作者：

Inoue, Eiji ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan

来源：

ADVANCES IN MATHEMATICS | 2019年 / 357卷

基金：

日本学术振兴会;

关键词：

Fano; Kahler-Ricci soliton; Moduli; GROMOV-HAUSDORFF LIMITS; EINSTEIN METRICS; FUTAKI INVARIANT; K-STABILITY; SCALAR CURVATURE; TORIC MANIFOLDS; UNIQUENESS; COMPLEX; FLOW; CLASSIFICATION;

D O I：

10.1016/j.aim.2019.106841

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a canonical Hausdorff complex analytic moduli space of Fano manifolds with Kahler-Ricci solitons. This enlarges the moduli space of Fano manifolds with Kaliler- Einstein metrics. We discover a moment map picture for Kohler-Ricci solitons, and give complex analytic charts on the topological space consisting of Kaliler-Ricci solitons, by studying differential geometric aspects of this moment map. Some stacky words and arguments on Gromov-Hausdorff convergence help to glue them together in the holomorphic manner. (C) 2019 Elsevier Inc. All rights reserved.

引用

页数：65

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