Construction and examples of higher-dimensional modular Calabi-Yau manifolds

Abstract

We construct several examples of higher-dimensional Calabi-Yau manifolds and prove their modularity.

minor corrections and improvements

References in corpus (1)

• On the modularity of Calabi-Yau threefolds containing elliptic ruled surfaces

Cited by in corpus (7)

• On the Chow ring of Cynk-Hulek Calabi-Yau varieties and Schreieder varieties
• Emergent spacetime from modular motives
• On the construction problem for Hodge numbers
• Maximal automorphisms of Calabi-Yau manifolds versus maximally unipotent monodromy
• Modularity of two double covers of ${\mathbb{P}}^5$ branched along $12$ hyperplanes
• Modularity experiments on $S_4$-symmetric double octics
• Emergent spacetime and black hole probes from automorphic forms