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Modularity of Calabi-Yau varieties

Klaus Hulek·Remke Kloosterman·Matthias Schuett
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Abstract

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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Klaus Hulek, Remke Kloosterman, Matthias Schuett. 2006-01-31. Modularity of Calabi-Yau varieties. https://arxiv.org/abs/math/0601238

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