Quartic K3 surfaces without nontrivial automorphisms

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dc.creatorvan Luijk, Ronald
dc.date2005-11-22
dc.date.accessioned2026-07-07T06:51:34Z
dc.date.available2026-07-07T06:51:34Z
dc.descriptionFor any field k of characteristic at most 5 we exhibit an explicit smooth quartic surface in projective threespace over k with trivial automorphism group over the algebraic closure of k. We also show how this can be extended to higher characteristics. Over the rationals we construct an example on which the set of rational points is Zariski dense.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0511542
dc.identifierhttp://arxiv.org/abs/math/0511542
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105030
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject14J50, 14J28, 14G05
dc.titleQuartic K3 surfaces without nontrivial automorphisms
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