Crepant Resolutions of Gorenstein Toric Singularities and Upper Bound Theorem

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A necessary condition for the existence of torus-equivariant crepant resolutions of Gorenstein toric singularities can be derived by making use of a variant of the classical Upper Bound Theorem which is valid for simplicial balls.
Latex 2e, 6 pages. To appear in ``Géométrie des variétés toriques'', (Proc. of SS 2000, Grenoble), collection S'eminaires et Congr`es, SMF 2002. A preliminary version of these proceedings is available http://www-fourier.ujf-grenoble.fr/~mbrion/ecole.html

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