On the Kummer construction
Algebraic Geometry
2009-05-06 v2
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.
Cite
@article{arxiv.0804.4611,
title = {On the Kummer construction},
author = {Marco Andreatta and Jaroslaw A. Wisniewski},
journal= {arXiv preprint arXiv:0804.4611},
year = {2009}
}
Comments
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/