Explicit Gromov-Hausdorff compactifications of moduli spaces of Kahler-Einstein Fano manifolds

被引：23

作者：

Spotti, Cristiano ^{[1
,2
]}

Sun, Song ^{[3
,4
]}

机构：

[1] Aarhus Univ, Ny Munkegade 118, Aarhus, Denmark

[2] QGM Ctr Quantum Geometry Moduli Spaces, Ny Munkegade 118, Aarhus, Denmark

[3] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[4] SUNY Stony Brook, Stony Brook, NY 11794 USA

来源：

PURE AND APPLIED MATHEMATICS QUARTERLY | 2017年 / 13卷 / 03期

关键词：

RICCI CURVATURE; COMPLEX-SURFACES; TANGENT-CONES; METRICS; CONTINUITY; EXISTENCE; RIGIDITY;

D O I：

10.4310/PAMQ.2017.v13.n3.a5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We exhibit the first non-trivial concrete examples of Gromov-Hausdorff compactifications of moduli spaces of Kahler-Einstein Fano manifolds in all complex dimensions bigger than two (Fano K-moduli spaces). We also discuss potential applications to explicit study of moduli spaces of K-stable Fano manifolds with large anti-canonical volume. Our arguments are based on recent progress about the geometry of metric tangent cones and on related ideas about the algebro-geometric study of singularities of K-stable Fano varieties.

引用

页码：477 / 515

页数：39

共 68 条

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