The Integral Chow Rings of the Moduli Stacks of Hyperelliptic Prym Pairs I

2025/01/27 by Alessio Cela, Cela, Alessio, Alberto Landi +1 · 3 citations
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2501.16320

openalex publication_date 2025/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is the first in a series dedicated to computing the integral Chow rings of the moduli stacks of Prym pairs. In this work, we compute the Chow ring for Prym pairs arising from a single pair of Weierstrass points and from at most (g-1)/2 pairs when the genus g of the curve is odd.

Cited by

• K-theory of Weighted Blowups
• The Integral Chow Rings of the Moduli Stacks of Hyperelliptic Prym Pairs III
• The Integral Chow Rings of the Moduli Stacks of Hyperelliptic Prym Pairs II

Related

• The Integral Chow Rings of the Moduli Stacks of Hyperelliptic Prym Pairs II
• The integral Chow ring of R₂
• The Integral Chow Rings of the Moduli Stacks of Hyperelliptic Prym Pairs III
• The integral Chow rings of the stacks of hyperelliptic Weierstrass points
• The Integral Chow Ring of the Stack of Pointed Hyperelliptic Curves