Revista Matemática Complutense

, Volume 24, Issue 2, pp 465-492

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

On Kummer 3-folds


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 construction Calabi-Yau variety Integral matrix groups Quotient singularity Virtual Poincaré polynomial

Mathematics Subject Classification (2000)

14J32 20C10 14F43 14J17