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

01.05.2020

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: Offen)