Generalised Kummer constructions and Weil restrictions

Details Generalised Kummer constructions and Weil restrictions Generalised Kummer constructions and Weil restrictions

2007-10-24

arxiv.org/abs/0710.4565v2

Mathematics

Algebraic Geometry

12 pages; v2: added references, minor changes

Scientific paper

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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