A Modular Quintic Calabi–Yau Threefold of Level 55
Canadian journal of mathematics, Tome 63 (2011) no. 3, pp. 616-633
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In this note we search the parameter space of Horrocks–Mumford quintic threefolds and locate a Calabi–Yau threefold that is modular, in the sense that the $L$ -function of its middle-dimensional cohomology is associated with a classical modular form of weight 4 and level 55.
Mots-clés :
14J15, 11F23, 14J32, 11G40, Calabi-Yau threefold, non-rigid Calabi-Yau threefold, two-dimensional Galois representation, modular variety, Horrocks-Mumford vector bundle
Lee, Edward. A Modular Quintic Calabi–Yau Threefold of Level 55. Canadian journal of mathematics, Tome 63 (2011) no. 3, pp. 616-633. doi: 10.4153/CJM-2011-016-4
@article{10_4153_CJM_2011_016_4,
author = {Lee, Edward},
title = {A {Modular} {Quintic} {Calabi{\textendash}Yau} {Threefold} of {Level} 55},
journal = {Canadian journal of mathematics},
pages = {616--633},
year = {2011},
volume = {63},
number = {3},
doi = {10.4153/CJM-2011-016-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-016-4/}
}
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