On modularity of rigid and nonrigid Calabi-Yau varieties associated to the root lattice A₄

2003/04/14 by Klaus Hulek, Hulek, Klaus, Helena Verrill +1 · 3 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds #math.AG #math.NT #msc:11F03 #msc:11F23 #msc:11F32 #msc:14G25 #msc:14J32

paper · pdf · doi:10.48550/arxiv.math/0304169

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

arxiv created 2005/01/06 · arxiv updated 2009/11/30

Abstract

We prove the modularity of four rigid and three nonrigid Calabi-Yau threefolds associated with the root lattice A₄.

Citations

• Modular Elliptic Curves and Fermat's Last Theorem

Cited by

• Some Identities For Periods of Hulek-Verrill Threefolds
• The unequal-mass three-loop banana integral
• A single point as a Calabi-Yau zerofold

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