Computing the level of a modular rigid Calabi-Yau threefold
Number Theory
2007-05-23 v1
Abstract
In a previous article (a joint work with J. Manoharmayum) the modularity of a large class of rigid Calabi-Yau threefolds was established. To make that result more explicit, we recall (and re-prove) a result of Serre giving a bound for the conductor of an "integral" 2-dimensional compatible family 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.
Keywords
Cite
@article{arxiv.math/0403515,
title = {Computing the level of a modular rigid Calabi-Yau threefold},
author = {Luis Dieulefait},
journal= {arXiv preprint arXiv:math/0403515},
year = {2007}
}
Comments
to appear in Exp. Math