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arxiv: 0804.4611 · v2 · submitted 2008-04-29 · 🧮 math.AG

On the Kummer construction

classification 🧮 math.AG
keywords kummerconstructionapplicationbasecanonicalclasscohomologycompute
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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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