# 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} }

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.

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

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