The Irreducibility of the Moduli Space of Stable Vector Bundles of Rank 2 on a Quintic in P Introduction

@inproceedings{Nijsse1995TheIO,
title={The Irreducibility of the Moduli Space of Stable Vector Bundles of Rank 2 on a Quintic in P Introduction},
author={Pieter G.J. Nijsse},
year={1995}
}

Pieter G.J. Nijsse

Published 1995

In this paper I consider a quintic surface in P, general in the sense of Noether-Lefschetz theory. The vector bundles of rank 2 on this surface which are μ-stable with respect to the hyperplane section and have c1 = K, the canonical class of the surface and fixed c2, are parametrized by a moduli space. This space is known to be irreducible for large c2 (work of K.G. O’Grady). I give an explicit bound, namely c2 ≥ 16. 1991 Mathematics Subject Classification. 14D20, 14J29.