Moduli spaces of stable bundles on ruled 3-folds and Brill-Noether problems
Algebraic Geometry
2025-07-10 v1
Abstract
In this paper, we redefine the theory of walls and chambers due to Qin developing a new tool to study moduli spaces of stable rank 2 vector bundles on algebraic varieties of higher dimension. We apply it to describe components of some moduli spaces of rank 2 stable bundles on ruled 3-folds as well as to prove that some Brill-Noether loci are non-empty.
Cite
@article{arxiv.2507.06882,
title = {Moduli spaces of stable bundles on ruled 3-folds and Brill-Noether problems},
author = {Laura Costa and Irene Macías Tarrío},
journal= {arXiv preprint arXiv:2507.06882},
year = {2025}
}