Bases of homology spaces of the Hilbert scheme of points in an algebraic surface.

C. Hermoso; I. Sols

Revista Matemática de la Universidad Complutense de Madrid (1996)

  • Volume: 9, Issue: 1, page 53-66
  • ISSN: 1139-1138

Abstract

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We find two basis of the spaces of rational homology of the Hilbert scheme of points in an algebraic surface, by exhibiting two candidates having as cardinalities the known Betti numbers of this scheme and showing that both intersect in a matrix of nonzero determinant.

How to cite

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Hermoso, C., and Sols, I.. "Bases of homology spaces of the Hilbert scheme of points in an algebraic surface.." Revista Matemática de la Universidad Complutense de Madrid 9.1 (1996): 53-66. <http://eudml.org/doc/44212>.

@article{Hermoso1996,
abstract = {We find two basis of the spaces of rational homology of the Hilbert scheme of points in an algebraic surface, by exhibiting two candidates having as cardinalities the known Betti numbers of this scheme and showing that both intersect in a matrix of nonzero determinant.},
author = {Hermoso, C., Sols, I.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Grupos de homología; Bases de Hilbert; Superficies algebroides; Parametrización; Intersección; bases for rational homology group; Hilbert scheme; zero-dimensional subschemes; enumerative geometry},
language = {eng},
number = {1},
pages = {53-66},
title = {Bases of homology spaces of the Hilbert scheme of points in an algebraic surface.},
url = {http://eudml.org/doc/44212},
volume = {9},
year = {1996},
}

TY - JOUR
AU - Hermoso, C.
AU - Sols, I.
TI - Bases of homology spaces of the Hilbert scheme of points in an algebraic surface.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1996
VL - 9
IS - 1
SP - 53
EP - 66
AB - We find two basis of the spaces of rational homology of the Hilbert scheme of points in an algebraic surface, by exhibiting two candidates having as cardinalities the known Betti numbers of this scheme and showing that both intersect in a matrix of nonzero determinant.
LA - eng
KW - Grupos de homología; Bases de Hilbert; Superficies algebroides; Parametrización; Intersección; bases for rational homology group; Hilbert scheme; zero-dimensional subschemes; enumerative geometry
UR - http://eudml.org/doc/44212
ER -

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