Translator Disclaimer
2004 Computing the Level of a Modular Rigid Calabi-Yau Threefold
Luis V. Dieulefait
Experiment. Math. 13(2): 165-170 (2004).

Abstract

In a previous article (see Dieulefait and Manoharmayum), the modularity of a large class of rigid Calabi-Yau threefolds was established. To make that result more explicit, we recall (and reprove) a result of Serre giving a bound for the conductor of "integral" two-dimensional compatible families of Galois representations and apply this result to give an algorithm that determines the level of a modular rigid Calabi-Yau threefold. We apply the algorithm to three examples.

Citation

Download Citation

Luis V. Dieulefait. "Computing the Level of a Modular Rigid Calabi-Yau Threefold." Experiment. Math. 13 (2) 165 - 170, 2004.

Information

Published: 2004
First available in Project Euclid: 20 July 2004

zbMATH: 1060.14059
MathSciNet: MR2068890

Subjects:
Primary: 14J30
Secondary: 11F23

Rights: Copyright © 2004 A K Peters, Ltd.

JOURNAL ARTICLE
6 PAGES


SHARE
Vol.13 • No. 2 • 2004
Back to Top