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Polarized twisted conics and moduli of stable curves of genus two

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arxiv 2103.13204 v1 pith:L74AVV4L submitted 2021-03-24 math.AG

classification math.AG
keywords conicsmathcaloverlinepolarizedtwistedapproachchowcomputation
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abstract

In this paper we introduce the stack of polarized twisted conics and we use it to give a new point of view on $\overline{\mathcal{M}}_2$. In particular, we present a new and independent approach to the computation of the integral Chow ring of $\overline{\mathcal{M}}_2$, previously determined by Eric Larson.

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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. Stable maps to quotient stacks with a properly stable point

    math.AG 2024-11 conditional novelty 7.0 of 10

    A new extended weighted blow-up construction yields proper Deligne-Mumford compactifications of stable maps to quotient stacks with projective good moduli space.

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