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>The Nash problem for a toric pair and the minimal log-discrepancy [Problème de Nash pour une paire torique et la log-discrépance minimale]
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The Nash problem for a toric pair and the minimal log-discrepancy [Problème de Nash pour une paire torique et la log-discrépance minimale]
This Note formulates the Nash problem for a pair consisting of a toric variety and an invariant ideal and gives an affirmative answer to the problem. We also prove that the minimal log-discrepancy is computed by a divisor corresponding to a Nash component, if the minimal log-discrepancy is finite. On the other hand there exists a Nash component such that the corresponding divisor has negative log-discrepancy, if the minimal log-discrepancy is -∞.
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