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The integral Chow ring of weighted blow-ups

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arxiv 2307.01459 v2 pith:YW3F7RHQ submitted 2023-07-04 math.AG

Veronica Arena , Stephen Obinna , Dan Abramovich This is my paper · ORCID
classification math.AG
keywords weightedchowintegralblow-upblow-upscomputeformularings
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We give a formula for the integral Chow rings of weighted blow-ups. Along the way, we also compute the integral Chow rings of weighted projective stack bundles, a formula for the Gysin homomorphism of a weighted blow-up, and a generalization of the splitting principle. In addition, in the appendix we compute the Chern class of a weighted blow-up.

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Cited by 3 Pith papers

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

  1. Stringy Chow rings and weighted blow ups

    math.AG 2025-02 accept novelty 7.0 of 10

    An explicit computation of the stringy Chow ring for quotients by diagonalizable groups and for weighted blowups, with finite generation criteria.

  2. 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.

  3. 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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