Revista Matemática Complutense

, Volume 24, Issue 2, pp 465–492

On Kummer 3-folds

Open AccessArticle

DOI: 10.1007/s13163-010-0049-0

Cite this article as:
Donten, M. Rev Mat Complut (2011) 24: 465. doi:10.1007/s13163-010-0049-0


We investigate a generalization of Kummer construction, as introduced in Andreatta and Wiśniewski (Rev. Mat. Complut. 23:191–251, 2010). The aim of this work is to classify 3-dimensional Kummer varieties by computing their Poincaré polynomials.


Kummer constructionCalabi-Yau varietyIntegral matrix groupsQuotient singularityVirtual Poincaré polynomial

Mathematics Subject Classification (2000)

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© The Author(s) 2010

Authors and Affiliations

  1. 1.Instytut Matematyki UWWarszawaPoland