Contractible classes in toric varieties

dc.creatorCasagrande, Cinzia
dc.date2001-11-30
dc.date2002-05-08
dc.date.accessioned2026-07-07T04:44:55Z
dc.date.available2026-07-07T04:44:55Z
dc.descriptionLet X be a smooth, complete, toric variety. We study those curves C in X that are contractible, in the sense that there exists an equivariant morphism with connected fibers, with source X, that contracts exactly the irreducible curves that are numerically equivalent to a multiple of C. When X is projective, we compare contractible and extremal curves, and we show that every curve in X is numerically equivalent to a linear combination with positive integral coefficients of contractible curves.
dc.descriptionLaTeX, 27 pages, 5 figures; revised version, to appear in Mathematische Zeitschrift
dc.identifierhttps://arxiv.org/abs/math/0111332
dc.identifierhttp://arxiv.org/abs/math/0111332
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62784
dc.subjectAlgebraic Geometry
dc.titleContractible classes in toric varieties
dc.typetext

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