Abstract

Definition 1.1 (see [3, 5.6]). Let (X P ) be a normal singularity and let D = ∑ diDi be an effective Q -divisor on X such that the pair (X, D) has log-canonical singularities only. A pair (X, D) is said to be exceptional if there is at most one divisor E of the function field K(X) with discrepancy a(E, D) = −1. A log-canonical singularity (X P ) is said to be exceptional if a pair (X, D) is exceptional whenever it is log-canonical.

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