Publications at the Riemann Center
Hilbert modularity of some double octic Calabi–Yau threefolds
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.
Details
- Organisation(s)
-
Institute of Algebraic Geometry
Riemann Center for Geometry and Physics
- External Organisation(s)
-
Jagiellonian University
Johannes Gutenberg University Mainz
- Type
- Article
- Journal
- Journal of number theory
- Volume
- 210
- Pages
- 313-332
- No. of pages
- 20
- ISSN
- 0022-314X
- Publication date
- 01.05.2020
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Algebra and Number Theory
- Electronic version(s)
-
https://arxiv.org/abs/1810.04495 (Access:
Open
)
https://doi.org/10.1016/j.jnt.2019.09.015 (Access: Open )
