Bases for the homology groups of the Hilbert scheme of points in the plane

Raquel Mallavibarrena; Ignacio Sols

Compositio Mathematica (1990)

  • Volume: 74, Issue: 2, page 169-201
  • ISSN: 0010-437X

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Mallavibarrena, Raquel, and Sols, Ignacio. "Bases for the homology groups of the Hilbert scheme of points in the plane." Compositio Mathematica 74.2 (1990): 169-201. <http://eudml.org/doc/90016>.

@article{Mallavibarrena1990,
author = {Mallavibarrena, Raquel, Sols, Ignacio},
journal = {Compositio Mathematica},
keywords = {Hilbert scheme; basis for the Chow group},
language = {eng},
number = {2},
pages = {169-201},
publisher = {Kluwer Academic Publishers},
title = {Bases for the homology groups of the Hilbert scheme of points in the plane},
url = {http://eudml.org/doc/90016},
volume = {74},
year = {1990},
}

TY - JOUR
AU - Mallavibarrena, Raquel
AU - Sols, Ignacio
TI - Bases for the homology groups of the Hilbert scheme of points in the plane
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 74
IS - 2
SP - 169
EP - 201
LA - eng
KW - Hilbert scheme; basis for the Chow group
UR - http://eudml.org/doc/90016
ER -

References

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  1. [1] Bialynicki-Birula, "Some theorems on actions of algebraic groups ". Ann. of Math. Vol. 98 No. 3 (1978). Zbl0275.14007
  2. [2] Briançon, "Description de Hilbn C {x, y}". Inv. Math.41 (1977) 45-89. Zbl0353.14004MR457432
  3. [3] Collino, "Evidence for a conjecture of Ellingsrud-Strømme on the Chow ring of Hilbd P2". Illinois J. of Math. Vol. 32, n. 2 (1988). Zbl0706.14001
  4. [4] Elencwajg-Le Barz, "Une base de Pic(Hilbk P2)" Comptes rendus, 297I, 1983 (175-178). Zbl0548.14003MR725399
  5. [5] Elencwajg-Le Barz, "L'anneau de Chow des triangles du plan " Comp. Math.71 (1989) 85-119. Zbl0705.14004MR1008805
  6. [6] Elencwajg-Le Barz, "Explicit computations in Hilb3 P2" L.N.M.1311 pp. 76-100. Zbl0656.14005
  7. [7] Ellingsrud-Strømme, "On the homology of the Hilbert scheme of points in the plane". Inv. Math.87, 343-352 (1987). Zbl0625.14002MR870732
  8. [8] Ellingsrud-Strømme, " On a cell decomposition of the Hilbert scheme of points in the plane". Inv. Math.91, 365-370. (1988). Zbl1064.14500MR922805
  9. [9] Hartshorne, "Algebraic Geometry ". Springer Verlag. GTM 52 (1977). Zbl0367.14001MR463157
  10. [10] Mallavibarrena, "Les groupes de Chow de Hilb4 P2 et une base pour A2, A3, A2d-2, A2d-3 de Hilbd P2" Comptes rendus, t.303I131986. Zbl0606.14004
  11. [11] Mallavibarrena, "Validité de la formule classique des trisecantes stationnaires". Comptes rendus, t 303I16, 1986. Zbl0609.14032MR872562
  12. [12] Mallavibarrena, "El método de las bases de los grupos de Chow de Hilbd p2 en geometria enumerativa". Thesis. 1987. 
  13. [13] Roberts-Speiser, "Enumerative Geometry of Triangles, I" Comm. in Alg.12(10) 1213-1255 (1984). Zbl0648.14029MR738546
  14. [14] Roberts-Spelser, "Enumerative Geometry of Triangles, III" Comm. in Alg.15(9) 1929-1966 (1987). Zbl0648.14031
  15. [15] Schubert, "Anzahlgeometrische Behandlung des Dreiecks " Math. Ann.XVII153-212, 1880. Zbl12.0525.01MR1510063JFM12.0525.01
  16. [16] Zeuthen, Comptes rendus, t. 809. 

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