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Modularity of Calabi-Yau Varieties

In: Global Aspects of Complex Geometry

Author

Listed:
  • Klaus Hulek

    (Universität Hannover, Institut für Algebraische Geometrie)

  • Remke Kloosterman

    (Universität Hannover, Institut für Algebraische Geometrie)

  • Matthias Schütt

    (Universität Hannover, Institut für Algebraische Geometrie)

Abstract

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.

Suggested Citation

  • Klaus Hulek & Remke Kloosterman & Matthias Schütt, 2006. "Modularity of Calabi-Yau Varieties," Springer Books, in: Fabrizio Catanese & Hélène Esnault & Alan T. Huckleberry & Klaus Hulek & Thomas Peternell (ed.), Global Aspects of Complex Geometry, pages 271-309, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-35480-2_8
    DOI: 10.1007/3-540-35480-8_8
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