Cohomology of the second Voronoi compactification of A_4
Algebraic Geometry
2012-07-13 v2 Algebraic Topology
Abstract
In this paper we compute the cohomology groups of the second Voronoi compactification of the moduli space of abelian fourfolds in all degrees with the exception of the middle degree 10. We also compute the cohomology groups of the perfect cone compactification in degree < 10. The main tool is the investigation of the strata of the compactification corresponding to semi-abelic varieties with constant torus rank.
Keywords
Cite
@article{arxiv.1103.6169,
title = {Cohomology of the second Voronoi compactification of A_4},
author = {Klaus Hulek and Orsola Tommasi},
journal= {arXiv preprint arXiv:1103.6169},
year = {2012}
}
Comments
v2: 41 pages, mostly expository changes