Modularity of a nonrigid Calabi-Yau manifold with bad reduction at 13

• Autorzy: Grzegorz Kapustka , Michał Kapustka
• Języki publikacji: EN

Abstrakty

EN

We identify the weight four newform of a modular Calabi-Yau manifold studied by Hulek and Verrill. The main obstacle is that this Calabi-Yau manifold is not rigid and has bad reduction at prime 13. Replacing the original fiber product of elliptic fibrations with a fiberwise Kummer construction we reduce the problem to studying the modularity of a rigid Calabi-Yau manifold with good reduction at primes p ≥ 5.

Kategorie tematyczne

• 14J32: Calabi-Yau manifolds
• 14G10: Zeta-functions and related questions (Birch-Swinnerton-Dyer conjecture)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2007
• Tom: 90
• Numer: 1
• Strony: 89-98

Daty

wydano

2007

Twórcy

autor

Grzegorz Kapustka

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

autor

Michał Kapustka

• Jagiellonian University, ul. Reymonta 4, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/ap90-1-7