Exceptional and Rigid Sheaves on Surfaces with Anticanonical Class without Base Components

Details Exceptional and Rigid Sheaves on Surfaces with Anticanonical Class without Base Components Exceptional and Rigid Sheaves on Surfaces with Anticanonical Class without Base Components

1995-11-24

arxiv.org/abs/alg-geom/9511016v1

Mathematics

Algebraic Geometry

LaTeX v 2.09. e-mail address: kuleshov@ium.ips.ras.ru , 70 pages, Contents on p.70

Scientific paper

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.

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