Local Strong Factorization of birational maps

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dc.creatorKaru, Kalle
dc.date2003-03-12
dc.date.accessioned2026-07-07T04:55:58Z
dc.date.available2026-07-07T04:55:58Z
dc.descriptionThe strong factorization conjecture states that a proper birational map between smooth algebraic varieties over a field of characteristic zero can be factored as a sequence of smooth blowups followed by a sequence of smooth blowdowns. We prove a local version of the strong factorization conjecture for toric varieties. Combining this result with the monomialization theorem of S.D.Cutkosky, we obtain a strong factorization theorem for local rings dominated by a valuation.
dc.description9 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0303148
dc.identifierhttp://arxiv.org/abs/math/0303148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66769
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14E05, 13H05
dc.titleLocal Strong Factorization of birational maps
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