Hilbert Schemes and Seshadri Constants
Algebraic Geometry
2024-09-17 v1
Abstract
In this paper we will propose a new method to investigate Seshadri constants, namely by means of (nested) Hilbert schemes. This will allow us to use the geometry of the latter spaces, for example the computations of the nef cone via Bridgeland stability conditions to gain new insights and bounds on Seshadri constants. Moreover, it turns out that many known Seshadri constants turn up in the wall and chamber decomposition of the movable cone of Hilbert schemes.
Keywords
Cite
@article{arxiv.2409.09694,
title = {Hilbert Schemes and Seshadri Constants},
author = {Jonas Baltes},
journal= {arXiv preprint arXiv:2409.09694},
year = {2024}
}
Comments
This preprint is based on one of the chapters of the author's PhD thesis supervised by Frank Gounelas