Exceptional and Rigid Sheaves on Surfaces with Anticanonical Class without Base Components
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
The paper consists of three parts. In the first of them different kinds stability are discussed. In particular, the stability concept with respect to nef divisor is introduced. A structure of rigid and superrigid vector bundles on smooth projective surfaces with nef anticanonical class is studied in the second part. We prove that any superrigid bundle has a unique exceptional filtration. In the last part we give constructive description of exceptional bundles on these surfaces.
Cite
@article{arxiv.alg-geom/9511016,
title = {Exceptional and Rigid Sheaves on Surfaces with Anticanonical Class without Base Components},
author = {Sergej A. Kuleshov},
journal= {arXiv preprint arXiv:alg-geom/9511016},
year = {2008}
}
Comments
LaTeX v 2.09. e-mail address: [email protected] , 70 pages, Contents on p.70