Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
ALL TORIC LOCAL COMPLETE INTERSECTION SINGULARITIES ADMIT PROJECTIVE CREPANT RESOLUTIONS
DIMITRIOS I. DAISCHRISTIAN HAASEGÜNTER M. ZIEGLER
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2001 年 53 巻 1 号 p. 95-107

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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.
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© 2001 by THE TOHOKU UNIVERSITY
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