Decomposition of log crepant birational morphisms between log terminal surfaces

Mathematics – Algebraic Geometry

Scientific paper

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4 pages, AMSTex v2.1

Scientific paper

We prove that every log crepant birational morphism between log terminal
surfaces is decomposed into log-flopping type divisorial contraction morphisms
and log blow-downs. Repeating these two kinds of contractions we reach a
minimal log minimal surface from any log minimal surface.

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