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Mallavibarrena Martínez de Castro, Raquel
(1986)
*The Chow groups of Hilb 4 P 2 and a base for A 2 ,A 3 ,A 2d−2 ,A 2d−3 of Hilb d P.*
Comptes Rendus de l'Académie des Sciences. Série I. Mathématique, 303
(13).
pp. 647-650.
ISSN 0764-4442

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Restringido a Repository staff only 359kB |

## Abstract

G. Ellingsrud and S. A. Strømme [Invent. Math. 87 (1987), no. 2, 343–352; see the following review] have proved that the Chow group of the Hilbert scheme Hilb d P 2 is free and have computed the ranks of its homogeneous parts A i (Hilb d P 2 ) . In the present note, the author introduces a family of cycles in Hilb d P 2 and conjectures this family to be a basis of the Chow group. In the case d=3 , this follows from a paper by G. Elencwajg and P. Le Barz [C. R. Acad. Sci. Paris Sér. I Math. 301 (1985), no. 12, 635–638; MR0814963 (87c:14006)]. Here the conjecture is proved in case d=4 , and for any d , in the cases i=2,3,2d−3, 2d−2 . The proof consists in calculations of intersection matrices.

Item Type: | Article |
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Uncontrolled Keywords: | Chow groups and rings |

Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 16643 |

Deposited On: | 08 Oct 2012 07:48 |

Last Modified: | 25 Jul 2018 10:34 |

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