Contractibility of the geometric stability manifold of a surface
Algebraic Geometry
2024-05-24 v2
Abstract
Using a recent description of the geometric stability manifold, we show the geometric stability manifold associated to any smooth projective complex surface is contractible. We then use this result to demonstrate infinitely many new families of surfaces whose stability manifold is contractible.
Keywords
Cite
@article{arxiv.2310.10499,
title = {Contractibility of the geometric stability manifold of a surface},
author = {Nick Rekuski},
journal= {arXiv preprint arXiv:2310.10499},
year = {2024}
}
Comments
Minor changes. 6 pages, 1 figure, Comments Welcome!