English

Representability for some moduli stacks of framed sheaves

Algebraic Geometry 2007-05-23 v2

Abstract

We prove a representability theorem for moduli functors of framed torsion-free sheaves on nonsingular complex projective surfaces, using formal geometry along a curve in the surface. This has as a consequence that a certain restriction morphism for moduli stacks of sheaves has fibers that are schemes.

Keywords

Cite

@article{arxiv.math/0008190,
  title  = {Representability for some moduli stacks of framed sheaves},
  author = {Thomas A. Nevins},
  journal= {arXiv preprint arXiv:math/0008190},
  year   = {2007}
}

Comments

6 pages, AMSLaTeX, substantially revised and shortened version

R2 v1 2026-07-22T16:34:20.917Z