On modularity of rigid and nonrigid Calabi-Yau varieties associated to the root lattice A_4
Klaus Hulek, Helena Verrill
TL;DR
This paper proves the modularity of seven Calabi-Yau threefolds related to the A_4 root lattice, advancing understanding of their arithmetic and geometric properties.
Contribution
It establishes the modularity of specific rigid and nonrigid Calabi-Yau threefolds linked to the A_4 lattice, a novel result in the field.
Findings
Modularity proven for four rigid Calabi-Yau threefolds.
Modularity proven for three nonrigid Calabi-Yau threefolds.
Enhances understanding of Calabi-Yau varieties associated with root lattices.
Abstract
We prove the modularity of four rigid and three nonrigid Calabi-Yau threefolds associated with the root lattice A_4.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometry and complex manifolds