300 research outputs found

    Modularity of Calabi-Yau varieties

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    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.Comment: Further references adde

    Model theory of special subvarieties and Schanuel-type conjectures

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    We use the language and tools available in model theory to redefine and clarify the rather involved notion of a {\em special subvariety} known from the theory of Shimura varieties (mixed and pure)
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