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arXiv · 1402.1439

The Picard rank conjecture for the Hurwitz spaces of degree up to five

Anand Deopurkar·Anand Patel
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Abstract

We prove that the rational Picard group of the simple Hurwitz space ${\mathcal H}_{d,g}$ is trivial for $d$ up to five. We also relate the rational Picard groups of the Hurwitz spaces to the rational Picard groups of the Severi varieties of nodal curves on Hirzebruch surfaces.

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BibTeXRIS

Anand Deopurkar, Anand Patel. 2014-06-09. The Picard rank conjecture for the Hurwitz spaces of degree up to five. https://doi.org/10.2140/ant.2015.9.459

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