Seminatural bundles of rank two, degree one and $c_2=10$ on a quintic surface

Abstract

In this paper we continue our study of the moduli space of stable bundles of rank two and degree 1 on a very general quintic surface. The goal in this paper is to understand the irreducible components of the moduli space in the first case in the "good" range, which is $c_2=10$. We show that there is a single irreducible component of bundles which have seminatural cohomology, and conjecture that this is the only component for all stable bundles.

Cited by in corpus (2)

• Irreducibility of the moduli space of stable vector bundles of rank two and odd degree on a very general quintic surface
• Geometry of some moduli of bundles over a very general sextic surface for small second Chern classes and Mestrano-Simpson Conjecture