On modularity of rigid and nonrigid Calabi-Yau varieties associated to the root lattice A_4

Mathematics – Algebraic Geometry

Scientific paper

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Final version, some improvements in the presentation, references added, some typos corrected. To appear Nagoya Math. Journal

Scientific paper

We prove the modularity of four rigid and three nonrigid Calabi-Yau
threefolds associated with the root lattice A_4.

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