Existence and deformations of Kähler–Einstein metrics on smoothable $\mathbb{Q}$-Fano varieties

By Cristiano Spotti, Song Sun, Chengjian Yao. 2014

51 citations recorded by the source corpus.

We prove the existence of Kahler-Einstein metrics on Q-Gorenstein smoothable, K-polystable Q-Fano varieties, and we show how these metrics behave, in the Gromov-Hausdorff sense, under Q-Gorenstein smoothings.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/a7ce20eb27149c9243867e6f63cef16f6c8bb8dc

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Chi Li
2. Feng Wang
3. G. Tian
4. Robert J. Berman
5. Yuchen Liu
6. Mattias Jonsson
7. Song Sun
8. Xiaowei Wang

In Geometry and Topology

1. Chi Li
2. Feng Wang
3. G. Tian
4. Robert J. Berman
5. Yuchen Liu
6. Mattias Jonsson
7. H. Blum
8. Song Sun

Citations in the corpus

• On the Yau‐Tian‐Donaldson Conjecture for Singular Fano Varieties (2017, background): “In the Fano case, there is a class of singular Q-Fano varieties, the so-called Q-smoothable Q-Fano varieties, for which the Yau-Tian-Donaldson conjecture has been proved (see [44, 35]).”