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arXiv · 1005.4523

Modularity of the Consani-Scholten quintic

Luis Dieulefait·Ariel Pacetti·Matthias Schuett
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Abstract

We prove that the Consani-Scholten quintic, a Calabi-Yau threefold over QQ, is Hilbert modular. For this, we refine several techniques known from the context of modular forms. Most notably, we extend the Faltings-Serre-Livne method to induced four-dimensional Galois representations over QQ. We also need a Sturm bound for Hilbert modular forms; this is developed in an appendix by Jose Burgos Gil and the second author.

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Luis Dieulefait, Ariel Pacetti, Matthias Schuett. 2012-12-12. Modularity of the Consani-Scholten quintic. https://arxiv.org/abs/1005.4523

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