The integral Chow rings of the stacks of hyperelliptic Weierstrass points

2022/08/01 by Dan Edidin, Edidin, Dan, Zhengning Hu +1 · 1 citation
Computer Science · Mathematics · #14C15 #14H10 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Cryptography and Residue Arithmetic #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2208.00556

openalex publication_date 2022/08/01 · openalex created_date 2022/08/03 · openalex updated_date 2026/07/28

Abstract

We compute the integral Chow rings of the stacks \mathcal H_g,n^w parametrizing hyperelliptic curves with n marked Weierstrass points. We prove that the integral Chow rings of each of these stacks is generated as an algebra by any of the Ψ-classes and that all relations live in degree one.

Cited by

• Chow Rings of Hurwitz Spaces with Marked Ramification

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• The Integral Chow Rings of the Moduli Stacks of Hyperelliptic Prym Pairs II
• The Chow ring of the universal Picard stack over the hyperelliptic locus