Klaus Hulek and Orsola Tommasi

摘要

In this paper we compute the cohomology groups of the second Voronoi and the perfect cone compactification $AVOR 4$ and $APERF 4$ respectively, of the moduli space of abelian fourfolds in degree $<= 9$. The main tool is the investigation of the strata of $AVOR 4$ corresponding to semi-abelic varieties with constant torus rank.