Noncommutative resolutions and rational singularities

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Let k be an algebraically closed field of characteristic zero. We show that the centre of a homologically homogeneous, finitely generated k-algebra has rational singularities. In particular if a finitely generated normal commutative k-algebra has a noncommutative crepant resolution, as introduced by the second author, then it has rational singularities.

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Algebraic Geometry, Rings and Algebras, 14A22, 14E15, 16S38

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http://salesiana.dossiersoluciones.com/handle/123456789/119809

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612032
 http://arxiv.org/abs/math/0612032

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arXiv