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Minimal Models of Semi-log-canonical Pairs

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Moduli of K-stable Varieties

Part of the book series: Springer INdAM Series ((SINDAMS,volume 31))

Abstract

We compare the minimal model of a log canonical pair with the minimal model of its reduced boundary. These results are then used to study the existence of the minimal model of a semi-log-canonical pair using its normalization.

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Acknowledgements

We thank the Simons Foundation for supporting our participation at the conference “Birational Geometry” where this work started. Partial financial support to JK was also provided by the NSF under grant number DMS-1362960.

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Authors and Affiliations

  1. Institute of Mathematics “Simion Stoilow” of the Romanian Academy, Bucharest, Romania

    Florin Ambro

  2. Princeton University, Princeton, NJ, USA

    János Kollár

Authors
  1. Florin Ambro
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  2. János Kollár
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Corresponding author

Correspondence to Florin Ambro .

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Editors and Affiliations

  1. Dept. of Mathematics and Physics, Roma Tre University, Rome, Italy

    Giulio Codogni

  2. DPMMS, University of Cambridge, Cambridge, UK

    Ruadhaí Dervan

  3. Dept. of Mathematics and Physics, Roma Tre University, Rome, Italy

    Filippo Viviani

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Ambro, F., Kollár, J. (2019). Minimal Models of Semi-log-canonical Pairs. In: Codogni, G., Dervan, R., Viviani, F. (eds) Moduli of K-stable Varieties. Springer INdAM Series, vol 31. Springer, Cham. https://doi.org/10.1007/978-3-030-13158-6_1

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