There are no exotic compact moduli of sheaves on a curve
Algebraic Geometry
2025-04-16 v1
Abstract
We study moduli of coherent sheaves of some given degree and positive rank on a curve. We show that there is only one nonempty open condition on families of sheaves that yields a universally closed adequate moduli space, namely, the one that recovers the classical moduli of slope semistable vector bundles.
Cite
@article{arxiv.2504.11155,
title = {There are no exotic compact moduli of sheaves on a curve},
author = {Andres Fernandez Herrero and Dario Weissmann and Xucheng Zhang},
journal= {arXiv preprint arXiv:2504.11155},
year = {2025}
}
Comments
20 pages, comments are welcome