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Non-liftable Calabi–Yau spaces

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Arkiv för Matematik

Abstract

We construct many new non-liftable three-dimensional Calabi–Yau spaces in positive characteristic. The technique relies on lifting a nodal model to a smooth rigid Calabi–Yau space over some number field as introduced by one of us jointily with D. van Straten.

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Authors and Affiliations

  1. Institute of Mathematics, Jagiellonian University, ul. Łojasiewicza 6, PL-30-348, Kraków, Poland

    Sławomir Cynk

  2. Institute of Mathematics PAN, ul. Śniadeckich 8, PL-00-956, Warszawa, Poland

    Sławomir Cynk

  3. Institut für Algebraische Geometrie, Leibniz Universität Hannover, Welfengarten 1, DE-30167, Hannover, Germany

    Matthias Schütt

Authors
  1. Sławomir Cynk
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  2. Matthias Schütt
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Corresponding author

Correspondence to Matthias Schütt.

Additional information

Funding from MNiSW under grant no N N201 388834 and DFG under grant Schu 2266/2-2 is gratefully acknowledged.

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Cynk, S., Schütt, M. Non-liftable Calabi–Yau spaces. Ark Mat 50, 23–40 (2012). https://doi.org/10.1007/s11512-010-0130-4

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  • DOI: https://doi.org/10.1007/s11512-010-0130-4

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