Generalised Kummer constructions and Weil restrictions
classification
🧮 math.AG
math.NT
keywords
calabi-yaugeneralisedkummerrationalrestrictionssmoothweilclass
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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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