K-stability and space sextic curves of genus three
Algebraic Geometry
2024-04-12 v1
Abstract
We study Fano threefolds that can be obtained by blowing up the three-dimensional projective space along a smooth curve of degree six and genus three. We produce many new K-stable examples of such threefolds, and we describe all finite groups that can act faithfully on them.
Cite
@article{arxiv.2404.07803,
title = {K-stability and space sextic curves of genus three},
author = {Ivan Cheltsov and Oliver Li and Sione Ma'u and Antoine Pinardin},
journal= {arXiv preprint arXiv:2404.07803},
year = {2024}
}
Comments
26 pages