A simple proof for the existence of Zariski decompositions on surfaces

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dc.creatorBauer, Thomas
dc.date2007-12-10
dc.date.accessioned2026-07-07T08:48:22Z
dc.date.available2026-07-07T08:48:22Z
dc.descriptionIn this note we give a quick and simple proof of the existence (and uniqueness) of Zariski decompositions on surfaces. While Zariski's original proof employs a rather sophisticated procedure to construct the negative part of the decomposition, the present approach is based on the idea that the positive part can be constructed from a maximality condition. It may also be useful that this approach yields a practical algorithm for the computation of the positive part.
dc.identifierhttps://arxiv.org/abs/0712.1576
dc.identifierhttp://arxiv.org/abs/0712.1576
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143925
dc.subjectAlgebraic Geometry
dc.subject14C20; 14F05
dc.titleA simple proof for the existence of Zariski decompositions on surfaces
dc.typetext

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