Non-emptiness of Brill-Noether Loci over very general quintic hypersurface

Abstract

In this article we study Brill-Noether loci of moduli space of stable bundles over smooth surfaces. We define Petri map as an analogy with the case of curves. We show the non-emptiness of certain Brill-Noether loci over very general quintic hypersurface in ${\mathbb{P}}^3$, and use the Petri map to produce components of expected dimension.

References in corpus (1)

• Irreducibility of the moduli space of stable vector bundles of rank two and odd degree on a very general quintic surface

Cited by in corpus (1)

• Geometry of some moduli of bundles over a very general sextic surface for small second Chern classes and Mestrano-Simpson Conjecture