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/