A Lie Algebra Method for Rational Parametrization of Severi-Brauer Surfaces

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dc.creatorde Graaf, Willem A.
dc.creatorHarrison, Michael
dc.creatorPilnikova, Jana
dc.creatorSchicho, Josef
dc.date2005-01-11
dc.date2005-06-21
dc.date.accessioned2026-07-07T05:15:58Z
dc.date.available2026-07-07T05:15:58Z
dc.descriptionIt is well-known that a Severi-Brauer surface has a rational point if and only if it is isomorphic to the projective plane. Given a Severi-Brauer surface, we study the problem to decide whether such an isomorphism to the projective plane, or such a rational point, does exist; and to construct such an isomorphism or such a point in the affirmative case. We give an algorithm using Lie algebra techniques. The algorithm has been implemented in Magma.
dc.description16 pages some minor revisions
dc.identifierhttps://arxiv.org/abs/math/0501157
dc.identifierhttp://arxiv.org/abs/math/0501157
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73817
dc.subjectAlgebraic Geometry
dc.subject14Q10
dc.titleA Lie Algebra Method for Rational Parametrization of Severi-Brauer Surfaces
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