Complete subvarieties in moduli spaces of rank 2 stables sheaves on smooth projective curves and surfaces

Cristian Anghel

Complete subvarieties in moduli spaces of rank 2 stables sheaves on smooth projective curves and surfaces

Algebraic Geometry 2007-05-23 v1

Authors: Cristian Anghel

Abstract

The aim of this paper is to prove the existence of large complete subvarieties in moduli spaces of rank two stable sheaves with arbitrary $c_1$ and sufficiently large $c_2$ on algebraic surfaces. Then we study the restriction of these sheaves to curves of high degree embedded in the surface. In the final section we gives a relation with the spin strata defined by Pidstrigach and Tyurin.

Keywords

moduli spaces stable sheaves complete subvarieties algebraic surfaces spin strata

Cite

@article{arxiv.math/0104078,
  title  = {Complete subvarieties in moduli spaces of rank 2 stables sheaves on smooth projective curves and surfaces},
  author = {Cristian Anghel},
  journal= {arXiv preprint arXiv:math/0104078},
  year   = {2007}
}

Comments

12 pages

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