The three pencils of K3 surfaces of minimal discriminant whose general element covers at least one Enriques surface are Kondo's pencils I and II, and the Apery-Fermi pencil. We enumerate and investigate all Enriques surfaces covered by their general elements.
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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
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Univ Roma Tre, Dipartimento Matemat, Largo San Leonardo Murialdo 1, I-00146 Rome, ItalyUniv Roma Tre, Dipartimento Matemat, Largo San Leonardo Murialdo 1, I-00146 Rome, Italy
Knutsen, Andreas Leopold
Lopez, Angelo Felice
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Univ Roma Tre, Dipartimento Matemat, Largo San Leonardo Murialdo 1, I-00146 Rome, ItalyUniv Roma Tre, Dipartimento Matemat, Largo San Leonardo Murialdo 1, I-00146 Rome, Italy