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The Chow Ring of the Hilbert Scheme of Rational Normal Curves

@article{Pandharipande1996TheCR,
  title={The Chow Ring of the Hilbert Scheme of Rational Normal Curves},
  author={Rahul Pandharipande},
  journal={arXiv: Algebraic Geometry},
  year={1996}
}
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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References

SHOWING 1-10 OF 12 REFERENCES
Equivariant intersection theory
In this paper we develop an equivariant intersection theory for actions of algebraic groups on algebraic schemes. The theory is based on our construction of equivariant Chow groups. They are
The Chow Ring of the Non-Linear Grassmannian
Let M_{P^k}(P^r, d) be the moduli space of unparameterized maps \mu:P^k -> P^r satisfying \mu^*(O(1))= O(d). M_{P^k}(P^r,d) is a quasi-projective variety, and, in case k=1, M_{P^1}(P^r,d) is the
Geometric Invariant Theory
“Geometric Invariant Theory” by Mumford/Fogarty (the first edition was published in 1965, a second, enlarged edition appeared in 1982) is the standard reference on applications of invariant theory to
Enumerative geometry of degeneracy loci
© Gauthier-Villars (Éditions scientifiques et médicales Elsevier), 1988, tous droits réservés. L’accès aux archives de la revue « Annales scientifiques de l’É.N.S. » (http://www.
Characteristic classes of principal bundles in algebraic geometry, preprint
  • Characteristic classes of principal bundles in algebraic geometry, preprint
  • 1995
Ann. Scient. Ec. Norm. Sup
  • Ann. Scient. Ec. Norm. Sup
  • 1988
Characteristic classes of principal bundles in algebraic geometry
  • preprint
  • 1995
The Chow Ring of the Symmetric Group, preprint 1994
  • The Chow Ring of the Symmetric Group, preprint 1994
The Chow Ring of the Symmetric Group
  • preprint
  • 1994
Proposition 4. Let G × X → X be an algebraic group action with geometric quotient X → Y . If the action is free, then X → Y is a (´ etale locally trivial) principal G-bundle
  • Proposition 4. Let G × X → X be an algebraic group action with geometric quotient X → Y . If the action is free, then X → Y is a (´ etale locally trivial) principal G-bundle
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