Non-emptiness of Brill-Noether Loci over very general quintic hypersurface
Algebraic Geometry
2021-07-02 v2
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 , and use the Petri map to produce components of expected dimension.
Keywords
Cite
@article{arxiv.1702.05893,
title = {Non-emptiness of Brill-Noether Loci over very general quintic hypersurface},
author = {Krishanu Dan and Sarbeswar Pal},
journal= {arXiv preprint arXiv:1702.05893},
year = {2021}
}