All toric local complete intersection singularities admit projective crepant resolutions
Date
2001Source
Tohoku Mathematical JournalVolume
53Issue
1Pages
95-107Google Scholar check
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It is known that the underlying spaces of all abelian quotient singularities which are embeddable as complete intersections of hypersurfaces in an affine space can be overall resolved by means of projective torus-equivariant crepant birational morphisms in all dimensions. In the present paper we extend this result to the entire class of toric local complete intersection singularities. Our strikingly simple proof makes use of Nakajima's classification theorem and of some techniques from toric and discrete geometry.