Geodesic
Cohomology of the second Voronoi compactification of $\mathcal A_4$
Documenta mathematica, Tome 17 (2012), pp. 195-244.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 14K10, 14F25, 14C15, 14D22
Keywords: abelian varieties, Voronoi compactification, perfect cone compactification, Chow ring, cohomology ring 
@article{DOCMA_2012__17__a22,
     author = {Hulek, Klaus and Tommasi, Orsola},
     title = {Cohomology of the second {Voronoi} compactification of $\mathcal A_4$},
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     publisher = {mathdoc},
     volume = {17},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2012__17__a22/}
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Hulek, Klaus; Tommasi, Orsola. Cohomology of the second Voronoi compactification of $\mathcal A_4$. Documenta mathematica, Tome 17 (2012), pp. 195-244. http://geodesic.mathdoc.fr/item/DOCMA_2012__17__a22/