Supersingular quartic surfaces |
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| Affiliation: | 1. Department of Mathematics, University of Ulsan, Daehakro 93, Namgu Ulsan 44610, Republic of Korea;2. School of Mathematics, Korea Institute for Advanced Study, Hoegiro 87, Dongdaemun-gu, Seoul 02455, Republic of Korea;1. College of Sciences, Shanghai Institute of Technology, 201418 Shanghai, PR China;2. Institut für Algebra und Zahlentheorie, Universität Stuttgart, 70569 Stuttgart, Germany;1. Mathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Oxford, OX2 6GG, United Kingdom;1. Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via C. Saldini, 50, I-20133 Milano, Italy;2. Departamento de Álgebra, Geometría y Topología, Facultad de Ciencias Matemáticas, Plaza de las Ciencias, 3 - Universidad Complutense de Madrid, 28040 Madrid, Spain |
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| Abstract: | In this paper, we prove that, over an algebraically closed field of odd characteristic p (), every supersingular K3 surface is isomorphic to a quartic surface in the three dimensional projective space. |
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| Keywords: | Supersingular K3 surface Quartic polarization |
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