Cohomology of the second Voronoi compactification of

  • Klaus Hulek

    Leibniz Universität Hannover Leibniz Universität Hannover Institut für Algebraische Geometrie Institut für Algebraische Geometrie Welfengarten 1 Welfengarten 1 D-30167 Hannover D-30167 Hannover Germany Germany
  • Orsola Tommasi

    Leibniz Universität Hannover Leibniz Universität Hannover Institut für Algebraische Geometrie Institut für Algebraische Geometrie Welfengarten 1 Welfengarten 1 D-30167 Hannover D-30167 Hannover Germany Germany
Cohomology of the second Voronoi compactification of $\mathcal A_4$ cover
Download PDF

This article is published open access.

Abstract

In this paper we compute the cohomology groups of the second Voronoi and the perfect cone compactification and respectively, of the moduli space of abelian fourfolds in degree . The main tool is the investigation of the strata of corresponding to semi-abelic varieties with constant torus rank.

Cite this article

Klaus Hulek, Orsola Tommasi, Cohomology of the second Voronoi compactification of . Doc. Math. 17 (2012), pp. 195–244

DOI 10.4171/DM/366