Irreducibility of moduli of vector bundles over a very general sextic Surface

Abstract

Let $S$ be a very general smooth hypersurface of degree $6$ in ${\mathbb{P}}^3$. In this paper we will prove that the moduli space of $\mu$-stable rank $2$ torsion free sheaves with respect to hyperplane section having $c_1={\mathcal{O}}_S(1)$, with fixed $c_2\ge 27$ is irreducible.

arXiv commentcomments are welcome. arXiv admin note: text overlap with arXiv:1302.3736 by other authors

References in corpus (1)

• The irreducibility of the moduli space of stable vector bundles of rank 2 on a quintic in $\pp^3$