English

On the moduli space of semi-stable plane sheaves with Hilbert polynomial P(m)=6m+2

Algebraic Geometry 2011-09-27 v2

Abstract

We study the Simpson moduli space of semi-stable sheaves on the complex projective plane that have dimension 1, multiplicity 6 and Euler characteristic 2. We describe concretely these sheaves as cokernels of morphisms of locally free sheaves and we stratify the moduli space according to the types of sheaves that occur.

Keywords

Cite

@article{arxiv.1109.3918,
  title  = {On the moduli space of semi-stable plane sheaves with Hilbert polynomial P(m)=6m+2},
  author = {Mario Maican},
  journal= {arXiv preprint arXiv:1109.3918},
  year   = {2011}
}