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arXiv · 1702.05893

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

Krishanu Dan·Sarbeswar Pal
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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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Krishanu Dan, Sarbeswar Pal. 2017-02-20. Non-emptiness of Brill-Noether Loci over very general quintic hypersurface. https://doi.org/10.1016/j.bulsci.2018.05.001

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