Hodge polynomials of some moduli spaces of Coherent Systems
Abstract
When , we study the coherent systems that come from a BGN extension in which the quotient bundle is strictly semistable. In this case we describe a stratification of the moduli space of coherent systems. We also describe the strata as complements of determinantal varieties and we prove that these are irreducible and smooth. These descriptions allow us to compute the Hodge polynomials of this moduli space in some cases. In particular, we give explicit computations for the cases in which and is even, obtaining from them the usual Poincar\'e polynomials.
Keywords
Cite
@article{arxiv.0809.0134,
title = {Hodge polynomials of some moduli spaces of Coherent Systems},
author = {Cristian Gonzalez-Martinez},
journal= {arXiv preprint arXiv:0809.0134},
year = {2013}
}
Comments
Formerly entitled: "A stratification of some moduli spaces of coherent systems on algebraic curves and their Hodge--Poincar\'e polynomials". The paper has been substantially shorten. Theorem 8.20 has been revised and corrected. Final version accepted for publication in International Journal of Mathematics. arXiv admin note: text overlap with arXiv:math/0407523 by other authors