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Decomposition of Log Crepant Birational Morphisms between Log Terminal Surfaces

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Abstract

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

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References

  1. Kollár, J. et al.: Flips and abundance for algebraic threefolds, Astérisque 211 (1992).

  2. Shokurov, V. V.: 3-fold log flips, Russian Acad. Sci. Izv. Math. 40 (1993), 95–202.

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  1. Faculty of Education, Gifu Shotoku Gakuen University, Yanaizu-cho, Gifu, 501-6194, Japan

    Shigetaka Fukuda

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  1. Shigetaka Fukuda
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Fukuda, S. Decomposition of Log Crepant Birational Morphisms between Log Terminal Surfaces. Geometriae Dedicata 85, 183–187 (2001). https://doi.org/10.1023/A:1010354626682

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  • DOI: https://doi.org/10.1023/A:1010354626682

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