Factorizations of birational extensions of local rings

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dc.creatorCutkosky, Steven Dale
dc.creatorSrinivasan, Hema
dc.date2006-01-16
dc.date.accessioned2026-07-07T06:58:58Z
dc.date.available2026-07-07T06:58:58Z
dc.descriptionWe give a proof of local strong factorization of a birational extension of regular local rings (of equicharacteristic zero) along a valuation of rank 1 and maximal rational rank. This gives an alternate proof to the geometric proof of this Theorem by Karu. Our proof uses only linear algebra, and is in the spirit of Christensen's proof of this result in dimension 3.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0601393
dc.identifierhttp://arxiv.org/abs/math/0601393
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107576
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13A; 13B; 14E
dc.titleFactorizations of birational extensions of local rings
dc.typetext

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