Postnikov-Stability versus Semistability of Sheaves
Algebraic Geometry
2009-01-13 v1
Abstract
We present a novel notion of stable objects in a triangulated category. This Postnikov-stability is preserved by equivalences. We show that for the derived category of a projective variety this notion includes the case of semistable sheaves. As one application we compactify a moduli space of stable bundles using genuine complexes via Fourier-Mukai transforms.
Cite
@article{arxiv.0901.1554,
title = {Postnikov-Stability versus Semistability of Sheaves},
author = {Georg Hein and David Ploog},
journal= {arXiv preprint arXiv:0901.1554},
year = {2009}
}
Comments
16 pages