We construct explicit examples of K3 surfaces over Q which are of degree 2 and geometric Picard rank 1. We construct, particularly, examples of the form w(2) = det M where M is a (3 x 3)-matrix of ternary quadratic forms.
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Univ Turin, Dipartimento Matemat, Via Carlo Alberto 10, I-10123 Turin, ItalyUniv Turin, Dipartimento Matemat, Via Carlo Alberto 10, I-10123 Turin, Italy
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Univ Padua, Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, ItalyUniv Padua, Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, Italy
Festi, Dino
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Nijgh, Wim
Platt, Daniel
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Kings Coll London, Dept Math, London WC2R 2LS, EnglandUniv Padua, Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, Italy