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

Grzegorz Kapustka, and Michał Kapustka. "Modularity of a nonrigid Calabi-Yau manifold with bad reduction at 13." Annales Polonici Mathematici 90.1 (2007): 89-98. <http://eudml.org/doc/281079>.

@article{GrzegorzKapustka2007,
abstract = {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.},
author = {Grzegorz Kapustka, Michał Kapustka},
journal = {Annales Polonici Mathematici},
keywords = {modular forms; rigid and nonrigid Calabi-Yau threefolds; fiber product; Kummer fibration},
language = {eng},
number = {1},
pages = {89-98},
title = {Modularity of a nonrigid Calabi-Yau manifold with bad reduction at 13},
url = {http://eudml.org/doc/281079},
volume = {90},
year = {2007},
}

TY - JOUR
AU - Grzegorz Kapustka
AU - Michał Kapustka
TI - Modularity of a nonrigid Calabi-Yau manifold with bad reduction at 13
JO - Annales Polonici Mathematici
PY - 2007
VL - 90
IS - 1
SP - 89
EP - 98
AB - 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.
LA - eng
KW - modular forms; rigid and nonrigid Calabi-Yau threefolds; fiber product; Kummer fibration
UR - http://eudml.org/doc/281079
ER -