Non-emptiness of Brill-Noether Loci over very general quintic hypersurface

Published 20 Feb 2017 in math.AG | (1702.05893v2)

Abstract: In this article we study Brill-Noether loci of moduli space of stable bundles over smooth surfaces. We define Petri map as an analogy with the case of curves. We show the non-emptiness of certain Brill-Noether loci over very general quintic hypersurface in $\mathbb{P}^3$, and use the Petri map to produce components of expected dimension.

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