Generalised Kummer constructions and Weil restrictions

JOURNAL OF NUMBER THEORY

卷:129

Article

Cynk, Slawomir²  Schutt, Matthias¹ 

[1] Univ Copenhagen, Dept Math Sci, DK-2100 Copenhagen, Denmark

[2] Jagiellonian Univ, Inst Math, PL-30059 Krakow, Poland

关键词: Calabi-Yau threefold;    Modular form;    Complex multiplication;    Weil restriction;   

DOI  :  10.1016/j.jnt.2008.09.010

来源: Elsevier

【 摘 要 】

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. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free