Modularity of the Consani-Scholten Quintic With an Appendix by José Burgos Gil 1 and Ariel Pacetti

@inproceedings{Dieulefait2010ModularityOT,
  title={Modularity of the Consani-Scholten Quintic With an Appendix by Jos{\'e} Burgos Gil 1 and Ariel Pacetti},
  author={Luis Dieulefait and Ariel Pacetti and Matthias Sch{\"u}tt},
  year={2010}
}
We prove that the Consani-Scholten quintic, a CalabiYau threefold over Q, is Hilbert modular. For this, we refine several techniques known from the context of modular forms. Most notably, we extend the Faltings-Serre-Livné method to induced fourdimensional Galois representations over Q. We also need a Sturm bound for Hilbert modular forms; this is developed in an appendix by José Burgos Gil and the second author. and Matthias 2000 Mathematics Subject Classification: Primary: 11F41; Secondary… CONTINUE READING