Free C_+ -actions on C^3 are translations

dc.creatorKaliman, Shulim
dc.date2002-07-18
dc.date.accessioned2026-07-07T04:49:44Z
dc.date.available2026-07-07T04:49:44Z
dc.descriptionLet X' be a smooth contractible three-dimensional affine algebraic variety with a free algebraic C_+ -action on it such that S =X'// C_+ is smooth. We prove that X' is isomorphic to $S \times \C$ and the action is induced by a translation on the second factor. As a consequence we show that any free algebraic C_+ -action on C^3 is a translation in a suitable coordinate system.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0207156
dc.identifierhttp://arxiv.org/abs/math/0207156
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64536
dc.subjectAlgebraic Geometry
dc.subject14R20; 14R10
dc.titleFree C_+ -actions on C^3 are translations
dc.typetext

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