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The irreducibility of the moduli space of stable vector bundles of rank 2 on a quintic in $\pp^3$

Pieter Nijsse
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Abstract

In this paper I consider a quintic surface in $\pp^3$, 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 $c_1 = K$, the canonical class of the surface and fixed $c_2$, are parametrized by a moduli space. This space is known to be irreducible for large $c_2$ (work of K.G. O'Grady). I give an explicit bound, namely $c_2 \geq 16$.

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BibTeXRIS

Pieter Nijsse. 1995-03-22. The irreducibility of the moduli space of stable vector bundles of rank 2 on a quintic in $\pp^3$. https://arxiv.org/abs/alg-geom/9503012

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