K\"ahler-Einstein metrics on Q-smoothable Fano varieties, their moduli and some applications
Algebraic Geometry
2017-05-02 v1 Differential Geometry
Abstract
We survey recent results on the existence of K\"ahler-Einstein metrics on certain smoothable Fano varieties, focusing on the importance of such metrics in the construction of compact algebraic moduli spaces of K-polystable Fano varieties. Moreover, we give some applications and we discuss some natural problems which deserve future investigations.
Keywords
Cite
@article{arxiv.1705.00374,
title = {K\"ahler-Einstein metrics on Q-smoothable Fano varieties, their moduli and some applications},
author = {Cristiano Spotti},
journal= {arXiv preprint arXiv:1705.00374},
year = {2017}
}
Comments
This survey is an expanded version of a talk given at the INdAM meeting "Complex and Symplectic Geometry" held in Cortona, Arezzo (Italy), 12-18 June 2016