The Hurwitz space Picard rank conjecture for d>g-1

2020/09/21 by Mullane, Scott · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2009.10063

Abstract

We show the simple Hurwitz space H_g,d has trivial rational Picard group for d>g-1 and is uniruled for d>g+1.

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• Vanishing H¹ for Hurwitz spaces of fully-marked admissible covers of degree 3
• Chow Rings of Hurwitz Spaces with Marked Ramification

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