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.
@article{urn:eudml:doc:42261,
title = {El polinomio de Poincar\'e-Hodge de un producto sim\'etrico de variedades k\"ahlerianas compactas.},
journal = {Collectanea Mathematica},
volume = {41},
year = {1990},
pages = {59-69},
zbl = {0762.14007},
mrnumber = {MR1134446},
language = {es},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42261}
}
Burillo, Josep. El polinomio de Poincaré-Hodge de un producto simétrico de variedades kählerianas compactas.. Collectanea Mathematica, Tome 41 (1990) pp. 59-69. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42261/