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Modularity of Calabi-Yau Varieties

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Global Aspects of Complex Geometry

Summary

In this paper we discuss recent progress on the modularity of Calabi-Yau varieties. We focus mostly on the case of surfaces and threefolds. We will also discuss some progress on the structure of the L-function in connection with mirror symmetry. Finally, we address some questions and open problems.

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Authors and Affiliations

  1. Institut für Algebraische Geometrie, Universität Hannover, Welfengarten 1, 30167, Hannover, Germany

    Klaus Hulek, Remke Kloosterman & Matthias Schütt

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  1. Klaus Hulek
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  2. Remke Kloosterman
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  3. Matthias Schütt
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Editors and Affiliations

  1. Lehrstuhl Mathematik VIII, Mathematisches Institut, Universität Bayreuth, 95440, Bayreuth, Germany

    Fabrizio Catanese

  2. Mathematik, Universität Duisburg-Essen, 45117, Essen, Germany

    Hélène Esnault

  3. Institut für Mathematik, Universität Bochum, Universitätsstraße 150, 44801, Bochum, Germany

    Alan T. Huckleberry

  4. FB Mathematik, Institut für Mathematik, Universität Hannover, Welfengarten 1, 30167, Hannover, Germany

    Klaus Hulek

  5. Lehrstuhl Mathematik I, Mathematisches Institut, Universität Bayreuth, 95440, Bayreuth, Germany

    Thomas Peternell

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Hulek, K., Kloosterman, R., Schütt, M. (2006). Modularity of Calabi-Yau Varieties. In: Catanese, F., Esnault, H., Huckleberry, A.T., Hulek, K., Peternell, T. (eds) Global Aspects of Complex Geometry. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-35480-8_8

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