On the Kummer construction

2008/04/29 by Marco Andreatta, Andreatta, Marco, Jarosław A. Wiśniewski +2 · 1 citation
Mathematics · #14F43 #14J17 (Secondary) #14J32 (Primary) #20C10 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #math.AG #msc:14F43 #msc:14J17 #msc:14J32 #msc:20C10

paper · pdf · doi:10.48550/arxiv.0804.4611

A revised version: 22 pages, a new section added, typos and language errors corrected. Will appear in Revista Matematica Complutense, http://www.mat.ucm.es/serv/revmat/

openalex publication_date 2008/04/29 · arxiv created 2009/05/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss a generalization of Kummer construction which, on the base of an integral representation of a finite group and local resolution of its quotient, produces a higher dimensional variety with trivial canonical class. As an application we compute cohomology of some generalized Kummer varieties.

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• Finite groups of matrices over quadratic number fields

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