Monads for framed sheaves on Hirzebruch surfaces
Algebraic Geometry
2015-12-15 v5
Abstract
We define monads for framed torsion-free sheaves on Hirzebruch surfaces and use them to construct moduli spaces for these objects. These moduli spaces are smooth algebraic varieties, and we show that they are fine by constructing a universal monad.
Keywords
Cite
@article{arxiv.1205.3613,
title = {Monads for framed sheaves on Hirzebruch surfaces},
author = {Claudio Bartocci and Ugo Bruzzo and Claudio L. S. Rava},
journal= {arXiv preprint arXiv:1205.3613},
year = {2015}
}
Comments
30 pages. v2: Section 2 partially rewritten. v3: some minor changes and additions. v4: some minor changes, typos corrected. Final version to appear in Adv. Geom. v5: corrects a mistake in a preliminary result in Section 2. All results in Sections 3 to 6 are unchanged