Generalised Kummer constructions and Weil restrictions

authored by
Sławomir Cynk, Matthias Schütt
Abstract

We use a generalised Kummer construction to realise all but one known weight four newforms with complex multiplication and rational Fourier coefficients in Calabi-Yau threefolds defined over Q. The Calabi-Yau manifolds are smooth models of quotients of the Weil restrictions of elliptic curves with CM of class number three.

External Organisation(s)
Jagiellonian University
University of Copenhagen
Type
Article
Journal
Journal of number theory
Volume
129
Pages
1965-1975
No. of pages
11
ISSN
0022-314X
Publication date
08.2009
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Algebra and Number Theory
Electronic version(s)
https://doi.org/10.1016/j.jnt.2008.09.010 (Access: Open)