The cone of moving curves of a smooth Fano-threefold

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dc.creatorBarkowski, Sammy
dc.date2007-03-01
dc.date2007-04-03
dc.date.accessioned2026-07-07T07:55:00Z
dc.date.available2026-07-07T07:55:00Z
dc.descriptionIn this short note we show that the closed cone of moving curves of a smooth Fano-threefold is polyhedral. The proof relies on a famous result of Bucksom, Demailly, Paun and Peternell which says that the strongly movable cone is dual to the cone of pseudoeffective divisors. Finally, we relate the extremal rays of the cone of moving curves on a threefold with extremal rays in the cone of strongly movable curves on a birational model obtained by a Mori contraction.
dc.description12 pages, 1 figure. Version 2: corrected typo in theorem. Version 3: citation added
dc.identifierhttps://arxiv.org/abs/math/0703025
dc.identifierhttp://arxiv.org/abs/math/0703025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126825
dc.subjectAlgebraic Geometry
dc.subject14E30
dc.titleThe cone of moving curves of a smooth Fano-threefold
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