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26 April 2024
 
  » arxiv » math.AG/9812025

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All toric l.c.i.-singularities admit projective crepant resolutions
Dimitrios I. Dais ; Christian Haase ; G"unter M. Ziegler ;
Date 3 Dec 1998
Subject Algebraic Geometry; Combinatorics MSC-class: 14B05, 14M25, 52B20 | math.AG math.CO
AffiliationT"ubingen), Christian Haase (TU Berlin), G"unter M. Ziegler (TU Berlin
AbstractIt 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 l.c.i.-singularities. Our proof makes use of Nakajima’s classification theorem and of some special techniques from toric and discrete geometry.
Source arXiv, math.AG/9812025
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