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Syzygy divisors on Hurwitz spaces

Published 2 May 2018 in math.AG | (1805.00648v1)

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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Authors (2)

  1. Anand Deopurkar 
  2. Anand Patel 

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