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arXiv · 0710.4565

Generalised Kummer constructions and Weil restrictions

Slawomir Cynk·Matthias Schuett
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Abstract

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

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Slawomir Cynk, Matthias Schuett. 2008-08-25. Generalised Kummer constructions and Weil restrictions. https://arxiv.org/abs/0710.4565

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