Cohomology of the moduli space of degree two Enriques surfaces
M. Fortuna. (2020)cite arxiv:2008.06934Comment: 30 pages, 3 figures.
Abstract
We compute the intersection Betti numbers of the GIT model of the moduli
space of numerically polarized Enriques surfaces of degree 2. The strategy of
the cohomological calculation relies on a general method developed by Kirwan to
compute the cohomology of GIT quotients of projective varieties, based on the
equivariantly perfect stratification of the unstable points studied by
Hesselink and others and a partial resolution of singularities, called Kirwan
blow-up.
Description
[2008.06934] Cohomology of the moduli space of degree two Enriques surfaces
%0 Generic
%1 fortuna2020cohomology
%A Fortuna, Mauro
%D 2020
%K enriques
%T Cohomology of the moduli space of degree two Enriques surfaces
%U http://arxiv.org/abs/2008.06934
%X We compute the intersection Betti numbers of the GIT model of the moduli
space of numerically polarized Enriques surfaces of degree 2. The strategy of
the cohomological calculation relies on a general method developed by Kirwan to
compute the cohomology of GIT quotients of projective varieties, based on the
equivariantly perfect stratification of the unstable points studied by
Hesselink and others and a partial resolution of singularities, called Kirwan
blow-up.
@misc{fortuna2020cohomology,
abstract = {We compute the intersection Betti numbers of the GIT model of the moduli
space of numerically polarized Enriques surfaces of degree 2. The strategy of
the cohomological calculation relies on a general method developed by Kirwan to
compute the cohomology of GIT quotients of projective varieties, based on the
equivariantly perfect stratification of the unstable points studied by
Hesselink and others and a partial resolution of singularities, called Kirwan
blow-up.},
added-at = {2023-09-19T22:38:19.000+0200},
author = {Fortuna, Mauro},
biburl = {https://www.bibsonomy.org/bibtex/2bedbe3ad0d14c3d20f4c6851c595d59f/amathematician},
description = {[2008.06934] Cohomology of the moduli space of degree two Enriques surfaces},
interhash = {4e61683f6fb0374f133c442c859b7a1a},
intrahash = {bedbe3ad0d14c3d20f4c6851c595d59f},
keywords = {enriques},
note = {cite arxiv:2008.06934Comment: 30 pages, 3 figures},
timestamp = {2023-09-19T22:38:19.000+0200},
title = {Cohomology of the moduli space of degree two Enriques surfaces},
url = {http://arxiv.org/abs/2008.06934},
year = 2020
}