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arXiv · 1805.00648

Syzygy divisors on Hurwitz spaces

Anand Deopurkar·Anand Patel
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Abstract

We describe a sequence of effective divisors on the Hurwitz space $H_{d,g}$ for $d$ dividing $g-1$ and compute their cycle classes on a partial compactification. These divisors arise from vector bundles of syzygies canonically associated to a branched cover. We find that the cycle classes are all proportional to each other.

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Anand Deopurkar, Anand Patel. 2018-05-02. Syzygy divisors on Hurwitz spaces. https://doi.org/10.1090/conm%2F703%2F14139

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