On the Kummer construction

Mathematics – Algebraic Geometry

Scientific paper

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A revised version: 22 pages, a new section added, typos and language errors corrected. Will appear in Revista Matematica Compl

Scientific paper

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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