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Publication
NONCOMMUTATIVE RESOLUTIONS AND RATIONAL SINGULARITIES
Journal Contribution - Journal Article
Abstract. Let k be an algebraically closed field of characteristic zero. We
show that the centre of a homologically homogeneous, finitely generated kalgebra
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.
show that the centre of a homologically homogeneous, finitely generated kalgebra
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.
Journal: Michigan Mathematical Journal
ISSN: 0026-2285
Volume: 57
Pages: 659-674
Publication year:2008
Keywords:NONCOMMUTATIVE RESOLUTIONS