On the classification of toric singularities

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For a toric log variety with standard coefficients, we show that the minimal log discrepancy at a closed invariant point bounds the Cartier index of a neighbourhood.
Proceedings of the Conference on Combinatorial Commutative Algebra and Computer Algebra, Mangalia,May 29-31, 2008 (ed. Viviana Ene and Ezra Miller)

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