Saved in:
Bibliographic Details
Main Author: Delcroix, Thibaut
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2408.12893
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866916367489302528
author Delcroix, Thibaut
author_facet Delcroix, Thibaut
contents This four-pages note is an invitation to explore explicit K-stability for arbitrary Kähler classes of low dimension and low rank spherical varieties. We apply our simple combinatorial criterion of K-stability of rank one spherical varieties to the example of the blowup of the product of two copies of the projective planes along the diagonal, and obtain strong indication that it admits cscK metrics in every Kähler classes.
format Preprint
id arxiv_https___arxiv_org_abs_2408_12893
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle CscK metrics on rank one spherical Fano fourfolds
Delcroix, Thibaut
Algebraic Geometry
This four-pages note is an invitation to explore explicit K-stability for arbitrary Kähler classes of low dimension and low rank spherical varieties. We apply our simple combinatorial criterion of K-stability of rank one spherical varieties to the example of the blowup of the product of two copies of the projective planes along the diagonal, and obtain strong indication that it admits cscK metrics in every Kähler classes.
title CscK metrics on rank one spherical Fano fourfolds
topic Algebraic Geometry
url https://arxiv.org/abs/2408.12893