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Hilbert modularity of some double octic Calabi–Yau threefolds

authored by
Sławomir Cynk, Matthias Schütt, Duco van Straten
Abstract

We exhibit three double octic Calabi--Yau threefolds over the certain quadratic fields and prove their modularity. The non-rigid threefold has two conjugate Hilbert modular forms of weight [4,2] and [2,4] attached while the two rigid threefolds correspond to a Hilbert modular form of weight [4,4] and to the twist of the restriction of a classical modular form of weight 4.

Organisation(s)
Institut für Algebraische Geometrie
Riemann Center for Geometry and Physics
External Organisation(s)
Jagiellonian University
Johannes Gutenberg-Universität Mainz
Type
Artikel
Journal
Journal of number theory
Volume
210
Pages
313-332
No. of pages
20
ISSN
0022-314X
Publication date
15.10.2019
Publication status
Veröffentlicht
Peer reviewed
Yes
ASJC Scopus Sachgebiete
Algebra und Zahlentheorie
Electronic version(s)
https://arxiv.org/abs/1810.04495 (Access: Offen)
https://doi.org/10.1016/j.jnt.2019.09.015 (Access: Geschlossen)