Anti-affine algebraic groups

dc.creatorBrion, Michel
dc.date2007-10-27
dc.date2008-06-25
dc.date.accessioned2026-07-07T09:46:17Z
dc.date.available2026-07-07T09:46:17Z
dc.descriptionWe say that an algebraic group $G$ over a field is anti-affine if every regular function on $G$ is constant. We obtain a classification of these groups, with applications to the structure of algebraic groups in positive characteristics, and to the construction of many counterexamples to Hilbert's fourteenth problem.
dc.descriptionPrior work of Carlos Sancho de Salas acknowledged, additional minor changes,
dc.identifierhttps://arxiv.org/abs/0710.5211
dc.identifierhttp://arxiv.org/abs/0710.5211
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163475
dc.subjectAlgebraic Geometry
dc.subjectGroup Theory
dc.subject14K05, 14L10, 14L15, 20G15
dc.titleAnti-affine algebraic groups
dc.typetext

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