Skip to main content
Article thumbnail
Location of Repository

Cohomology of the second Voronoi compactification of A_4

By Klaus Hulek and Orsola Tommasi

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.Comment: v2: 41 pages, mostly expository change

Topics: Mathematics - Algebraic Geometry, Mathematics - Algebraic Topology, 14K10 (Primary) 14F25, 14C15, 14D22 (Secondary)
Year: 2012
OAI identifier: oai:arXiv.org:1103.6169
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://arxiv.org/abs/1103.6169 (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.