The Integral Chow Ring of the Stack of Pointed Hyperelliptic Curves

2024/04/24 by Landi, Alberto · 2 citations
#14C15 (primary) #14D23 #14H10 (secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2404.15873

Abstract

We study the integral Chow ring of the stack H_g,n parametrizing n-pointed smooth hyperelliptic curves of genus g. We compute the integral Chow ring of H_g,n for n=1,2 completely, while for 3≤ n≤2g+2 we compute it up to the additive order of a single class in degree 2. We obtain partial results also for n=2g+3. In particular, taking g=2 and recalling that H_2,n=M_2,n, our results hold for CH^*(M_2,n) for 1≤ n≤7.

Cited by

• 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

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• The integral Chow ring of the stack of 1-pointed hyperelliptic curves
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• The rational Chow rings of moduli spaces of hyperelliptic curves with marked points
• The Integral Chow Rings of the Moduli Stacks of Hyperelliptic Prym Pairs I
• Hyperelliptic A_r-stable curves (and their moduli stack)