Perverse coherent sheaves on blow-up. I. a quiver description
Algebraic Geometry
2008-06-03 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
This is the first of two papers studying moduli spaces of a certain class of coherent sheaves, which we call {\it stable perverse coherent sheaves}, on the blowup of a projective surface. They are used to relate usual moduli spaces of stable sheaves on a surface and its blowup. In this first part, we give a quiver (or ADHM) description of moduli spaces for framed perverse coherent sheaves on the blowup of the projective plane.
Keywords
Cite
@article{arxiv.0802.3120,
title = {Perverse coherent sheaves on blow-up. I. a quiver description},
author = {Hiraku Nakajima and Kota Yoshioka},
journal= {arXiv preprint arXiv:0802.3120},
year = {2008}
}
Comments
37 pages, 2 figures, submitted for ASPM, Exploration of New Structures and Natural Constructions in Mathematical Physics; ver.2 corrections of some mistakes