On the structure of semistable rigid sheaves on algebraic surfaces
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
Let S be a smooth projective surface, K be the canonical class of S and H be an ample divisor such that H.K<0 . In this paper we prove that for any rigid (Ext^1(F,F)=0) semistable sheaf F in the sense of Mumford--Takemoto stability w.r.t. H there exists an exceptional collection (E_1,...,E_n) of sheaves on S such that F can be constructed from {E_i} by a finite number of extensions.
Cite
@article{arxiv.alg-geom/9511017,
title = {On the structure of semistable rigid sheaves on algebraic surfaces},
author = {Boris V. Karpov},
journal= {arXiv preprint arXiv:alg-geom/9511017},
year = {2008}
}
Comments
LaTeX v 2.09. 8 pages