Computing the Level of a Modular Rigid Calabi-Yau Threefold

Dieulefait, Luis V.

Experiment. Math., Tome 13 (2004) no. 1, p. 165-170 / Harvested from Project Euclid

Résumé

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.

Publié le : 2004-05-14
Classification: Calabi-Yau varieties, modular forms, 14J30, 11F23

@article{1090350931,
     author = {Dieulefait, Luis V.},
     title = {Computing the Level of a Modular Rigid Calabi-Yau Threefold},
     journal = {Experiment. Math.},
     volume = {13},
     number = {1},
     year = {2004},
     pages = { 165-170},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1090350931}
}

Dieulefait, Luis V. Computing the Level of a Modular Rigid Calabi-Yau Threefold. Experiment. Math., Tome 13 (2004) no. 1, pp.  165-170. http://gdmltest.u-ga.fr/item/1090350931/