%0 Generic %1 florentino2020hodge %A Florentino, Carlos %A Nozad, Azizeh %A Silva, Jaime %A Zamora, Alfonso %D 2020 %K hodge %T On Hodge polynomials of Singular Character Varieties %U http://arxiv.org/abs/2006.14520 %X Let $X_\GammaG:=Hom(\Gamma,G)/\!/G$ be the $G$-character variety of $\Gamma$, where $G$ is a complex reductive group and $\Gamma$ a finitely presented group. We introduce new techniques for computing Hodge-Deligne and Serre polynomials of $X_\GammaG$, and present some applications, focusing on the cases when $\Gamma$ is a free or free abelian group. Detailed constructions and proofs of the main results will appear elsewhere.

@misc{florentino2020hodge, abstract = {Let $\mathcal{X}_{\Gamma}G:=\mathrm{Hom}(\Gamma,G)/\!/G$ be the $G$-character variety of $\Gamma$, where $G$ is a complex reductive group and $\Gamma$ a finitely presented group. We introduce new techniques for computing Hodge-Deligne and Serre polynomials of $\mathcal{X}_{\Gamma}G$, and present some applications, focusing on the cases when $\Gamma$ is a free or free abelian group. Detailed constructions and proofs of the main results will appear elsewhere.}, added-at = {2020-06-29T08:51:42.000+0200}, author = {Florentino, Carlos and Nozad, Azizeh and Silva, Jaime and Zamora, Alfonso}, biburl = {https://www.bibsonomy.org/bibtex/202bda0595a3dc1508837befd402bc412/simonechiarello}, description = {On Hodge polynomials of Singular Character Varieties}, interhash = {00329121b2f69adfde3d667d80343a05}, intrahash = {02bda0595a3dc1508837befd402bc412}, keywords = {hodge}, note = {cite arxiv:2006.14520Comment: To appear in the Proceedings of the Special Session on Complex Geometry of the ISAAC conference, Aveiro, Portugal (2019)}, timestamp = {2020-06-29T08:51:42.000+0200}, title = {On Hodge polynomials of Singular Character Varieties}, url = {http://arxiv.org/abs/2006.14520}, year = 2020 }