A Modular Quintic Calabi–Yau Threefold of Level 55

Lee, Edward

Canadian journal of mathematics, Tome 63 (2011) no. 3, pp. 616-633

Résumé

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.

Détail

DOI : 10.4153/CJM-2011-016-4

Mots-clés : 14J15, 11F23, 14J32, 11G40, Calabi-Yau threefold, non-rigid Calabi-Yau threefold, two-dimensional Galois representation, modular variety, Horrocks-Mumford vector bundle

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