On the volume of some Fano K-moduli spaces
Algebraic Geometry
2024-02-08 v2 Differential Geometry
Symplectic Geometry
Abstract
We compute the CM volume, that is the degree of the descended CM line bundle, of the Fano K-moduli space of Quartic del Pezzo in any dimension, and of the K-moduli space of the log Fano hyperplane arrangements of dimension one and two. Furthermore, we relate these volumes to the Weil-Petersson volumes by extending the notion of Weil-Petersson metric in the log case.
Keywords
Cite
@article{arxiv.2012.05721,
title = {On the volume of some Fano K-moduli spaces},
author = {Salvatore Tambasco},
journal= {arXiv preprint arXiv:2012.05721},
year = {2024}
}