Modularity of a nonrigid Calabi–Yau manifold
with bad reduction at 13
Annales Polonici Mathematici, Tome 90 (2007) no. 1, pp. 89-98
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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 $p\geq 5$.
Keywords:
identify weight newform modular calabi yau manifold studied hulek verrill main obstacle calabi yau manifold rigid has bad reduction prime replacing original fiber product elliptic fibrations fiberwise kummer construction reduce problem studying modularity rigid calabi yau manifold reduction primes geq
Affiliations des auteurs :
Grzegorz Kapustka 1 ; Michał Kapustka 2
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author = {Grzegorz Kapustka and Micha{\l} Kapustka},
title = {Modularity of a nonrigid {Calabi{\textendash}Yau} manifold
with bad reduction at 13},
journal = {Annales Polonici Mathematici},
pages = {89--98},
publisher = {mathdoc},
volume = {90},
number = {1},
year = {2007},
doi = {10.4064/ap90-1-7},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap90-1-7/}
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Grzegorz Kapustka; Michał Kapustka. Modularity of a nonrigid Calabi–Yau manifold with bad reduction at 13. Annales Polonici Mathematici, Tome 90 (2007) no. 1, pp. 89-98. doi: 10.4064/ap90-1-7
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