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The Chow Ring of the Hilbert Scheme of Rational Normal Curves

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arxiv alg-geom/9607025 v1 pith:2RO4GZ26 submitted 1996-07-23 alg-geom math.AG

R. Pandharipande This is my paper · ORCID
classification alg-geommath.AG
keywords chowhilbertringschemealgebraiccomputationscurvesequivariant
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Let H(d) be the (open) Hilbert scheme of rational normal curves of degree d in P^d. A presentation of the integral Chow ring of H(d) is given via equivariant Chow ring computations. Included also in the paper are algebraic computations of the integral equivariant Chow rings of the algebraic groups O(n), SO(2k+1). The results for S0(3)=PGL(2) are needed for the Hilbert scheme calculation.

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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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