Moduli spaces of generalised tautological bundles on Hilbert schemes
Algebraic Geometry
2025-10-14 v1
Abstract
We construct new stable vector bundles on Hilbert schemes of points on algebraic surfaces, which are parametrised by connected components of their moduli spaces. This work generalises aspects of our previous work on tautological bundles and of recent work of O'Grady.
Keywords
Cite
@article{arxiv.2510.11298,
title = {Moduli spaces of generalised tautological bundles on Hilbert schemes},
author = {Andreas Krug and Fabian Reede and Ziyu Zhang},
journal= {arXiv preprint arXiv:2510.11298},
year = {2025}
}
Comments
22 pages. Comments are welcome