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El polinomio de Poincaré-Hodge de un producto simétrico de variedades kählerianas compactas

  • Autores: Josep Burillo Puig Árbol académico
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 41, Fasc. 1, 1990, págs. 59-69
  • Idioma: español
  • Títulos paralelos:
    • The Poincaré-Hodge polynomial of a symmetric product of compact Kähler manifolds
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  • Resumen
    • In this paper we compute the Poincaré-Hodge polynomial of a symmetric product of a compact kähler manifold, following the method used by Macdonald, in the topological case, to compute the Poincaré polynomial of a compact polyhedron, and we give some applications, in particular to the case of curves.

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    • L. Göttsche, The Betti numbers of the Hilbert scheme of points on a smooth projective surface, Math. Ann. 286 (1990), 193–207.
    • A. Grothendieck, Sur quelques points d’algèbre homologique, Tôhoku Math. J. 9 (1957), 119–221.
    • I. G. Macdonald, The Poincaré polynomial of a symmetric product, Proc. Camb. Phil. Soc. 58 (1962), 563–568.
    • J. H. M. Steenbrink, Mixed Hodge structures on the vanishing cohomology, in Real and Complex Singularities, pp. 525–565, Sijthoff & Noordhoff,...

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