A functorial approach to the stability of vector bundles
Algebraic Geometry
2024-10-23 v2
Abstract
On a normal projective variety the locus of -stable bundles that remain -stable on all Galois covers prime to the characteristic is open in the moduli space of Gieseker semi-stable sheaves. On a smooth projective curve of genus at least 2 this locus is big in the moduli space of stable bundles, i.e., its complement has codimension at least 2.
Keywords
Cite
@article{arxiv.2211.08260,
title = {A functorial approach to the stability of vector bundles},
author = {Dario Weissmann},
journal= {arXiv preprint arXiv:2211.08260},
year = {2024}
}
Comments
final version to appear in mathz. improved exposition; appendix can still be found in the authors thesis. results unchanged