Stable pairs on curves and surfaces
alg-geom
2008-02-03 v2 Algebraic Geometry
Abstract
We describe stability conditions for pairs consisting of a coherent sheaf and a homomorphism to a fixed coherent sheaf on a projective variety. The corresponding moduli spaces are constructed for pairs on curves and surfaces. We consider two examples. The fixed sheaf is the structure sheaf or is a vector bundle on a divisor, i.e. Higgs pairs or framed bundles, resp. (unencoded version)
Cite
@article{arxiv.alg-geom/9211001,
title = {Stable pairs on curves and surfaces},
author = {Daniel Huybrechts and Manfred Lehn},
journal= {arXiv preprint arXiv:alg-geom/9211001},
year = {2008}
}
Comments
37 pages, LaTeX Version 2.09, MPI-92-093