Stratifying the moduli space of stable vector bundles by decomposition type
Algebraic Geometry
2023-08-15 v1
Abstract
The moduli space of slope-stable vector bundles on a normal projective variety over an algebraically closed field of characteristic is stratified with respect to the decomposition type. On a smooth projective curve of genus at least 2 we obtain mostly sharp dimension estimates for these strata. As an application, we obtain a dimension estimate for the closure of the prime to p trivializable stable bundles in the moduli space of stable vector bundles.
Cite
@article{arxiv.2308.06778,
title = {Stratifying the moduli space of stable vector bundles by decomposition type},
author = {Dario Weissmann},
journal= {arXiv preprint arXiv:2308.06778},
year = {2023}
}