Examples of K3 surfaces with real multiplication
classification
🧮 math.AG
keywords
examplessurfacesmultiplicationpicardrankrealcomputationconstruct
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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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