The automorphism group of a K3 surface with Picard number two is either the infinite cyclic group or the infinite dihedral group, if it is infinite. In this paper, we determine some conditions for a K3 surface of Picard number two to have the infinite dihedral automorphism group.
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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 Tokyo, Grad Sch Math Sci, Maguro Ku, 3-8-1 Komaba, Tokyo 1538914, JapanUniv Tokyo, Grad Sch Math Sci, Maguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
Hashimoto, Kenji
Keum, JongHae
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Korea Inst Adv Study, Sch Math, 85 Hoegiro, Seoul 02455, South KoreaUniv Tokyo, Grad Sch Math Sci, Maguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
Keum, JongHae
Lee, Kwangwoo
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Gwangju Inst Sci & Technol, Div Liberal Arts & Sci, 123 Cheomdangwagi Ro, Gwangju 61005, South KoreaUniv Tokyo, Grad Sch Math Sci, Maguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan