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The integral Chow rings of the stacks of hyperelliptic Weierstrass points

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arxiv 2208.00556 v2 pith:UY7HFQ75 submitted 2022-08-01 math.AG

Dan Edidin , Zhengning Hu This is my paper · ORCID
classification math.AG
keywords chowintegralringsstackshyperellipticpointsweierstrassalgebra
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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 $\Psi$-classes and that all relations live in degree one.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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

    math.AG 2025-01 accept novelty 7.0 of 10

    The integral Chow rings of the moduli stacks RH^1_g and RH^n_g (odd g, 1<n<(g+1)/2) are explicitly computed as quotients of polynomial rings.

  2. The Integral Chow Rings of the Moduli Stacks of Hyperelliptic Prym Pairs II

    math.AG 2025-07 conditional novelty 6.0 of 10

    For odd genus g, the integral Chow rings of the balanced hyperelliptic Prym component and of the unordered divisor stack are explicitly computed as quotient rings.

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