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arXiv · 1402.4555

Examples of $K3$ surfaces with real multiplication

Andreas-Stephan Elsenhans·Jörg Jahnel
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Abstract

We construct explicit examples of $K3$ surfaces over ${\mathbb Q}$ having real multiplication. Our examples are of geometric Picard rank 16. The standard method for the computation of the Picard rank provably fails for the surfaces constructed.

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Andreas-Stephan Elsenhans, Jörg Jahnel. 2014-05-21. Examples of $K3$ surfaces with real multiplication. https://doi.org/10.1112/s1461157014000199

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