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Rationally connected varieties—On a conjecture of Mumford

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Abstract

We establish a conjecture of Mumford characterizing rationally connected complex projective manifolds in several cases.

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Acknowledgements

Lazić was supported by the DFG-Emmy-Noether-Nachwuchsgruppe “Gute Strukturen in der höherdimensionalen birationalen Geometrie”. Peternell was supported by the DFG grant “Zur Positivität in der komplexen Geometrie”.

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Authors and Affiliations

  1. Mathematisches Institut, Universität Bonn, Bonn, 53115, Germany

    Vladimir Lazić

  2. Mathematisches Institut, Universität Bayreuth, Bayreuth, 95440, Germany

    Thomas Peternell

Authors
  1. Vladimir Lazić
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  2. Thomas Peternell
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Corresponding author

Correspondence to Thomas Peternell.

Additional information

In memory of Professor LU QiKeng (1927–2015)

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Lazić, V., Peternell, T. Rationally connected varieties—On a conjecture of Mumford. Sci. China Math. 60, 1019–1028 (2017). https://doi.org/10.1007/s11425-016-9039-2

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  • DOI: https://doi.org/10.1007/s11425-016-9039-2

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