Non-emptiness of Brill-Noether Loci over very general quintic hypersurface
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 P3, and use the Petri map to produce components of expected dimension.
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