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

Abstract

The moduli space $M(c_2)$, of stable rank two vector bundles of degree one on a very general quintic surface $X\subset {\mathbb{P}}^3$, is irreducible for all $c_2\ge 4$ and empty otherwise.

Adds a review of initial cases

References in corpus (1)

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

Cited by in corpus (2)

• Non-emptiness of Brill-Noether Loci over very general quintic hypersurface
• Geometry of some moduli of bundles over a very general sextic surface for small second Chern classes and Mestrano-Simpson Conjecture