Cohomology of the second Voronoi compactification of A4

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Authors

  • Klaus Hulek
  • Orsola Tommasi

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Details

Original languageEnglish
Pages (from-to)195-244
Number of pages50
JournalDocumenta mathematica
Volume17
Issue number2012
Publication statusPublished - 2012

Abstract

In this paper we compute the cohomology groups of the second Voronoi and the perfect cone compactification A4Vor and A4perf respectively, of the moduli space of abelian fourfolds in degree ≤ 9. The main tool is the investigation of the strata of A4Vor corresponding to semi-abelic varieties with constant torus rank.

Keywords

    Abelian varieties, Chow ring, Cohomology ring, Perfect cone compactification, Voronoi compactification

ASJC Scopus subject areas

Cite this

Cohomology of the second Voronoi compactification of A4. / Hulek, Klaus; Tommasi, Orsola.
In: Documenta mathematica, Vol. 17, No. 2012, 2012, p. 195-244.

Research output: Contribution to journal › Article › Research › peer review

Hulek, Klaus ; Tommasi, Orsola. / Cohomology of the second Voronoi compactification of A4. In: Documenta mathematica. 2012 ; Vol. 17, No. 2012. pp. 195-244.
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