Examples of \(K3\) surfaces with real multiplication

DOI10.1112/S1461157014000199zbMATH Open1307.14063arXiv1402.4555OpenAlexW3125009525MaRDI QIDQ2878825

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Publication date: 5 September 2014

Published in: (Search for Journal in Brave)

Abstract: We construct explicit examples of $K3$ surfaces over $mathbbQ$ 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.

Full work available at URL: https://arxiv.org/abs/1402.4555

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