Formal prime ideals of infinite value and their algebraic resolution

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dc.creatorCutkosky, Steven Dale
dc.creatorElHitti, Samar
dc.date2009-05-27
dc.date.accessioned2026-07-07T13:18:43Z
dc.date.available2026-07-07T13:18:43Z
dc.descriptionSuppose that $R$ is a local domain essentially of finite type over a field of characteristic 0, and $ν$ a valuation of the quotient field of $R$ which dominates $R$. The rank of such a valuation often increases upon extending the valuation to a valuation dominating $\hat R$, the completion of $R$. When the rank of $ν$ is 1, Cutkosky and Ghezzi handle this phenomenon by resolving the prime ideal of infinite value, but give an example showing that when the rank is greater than 1, there is no natural ideal in $\hat R$ that leads to this obstruction. We extend their result on the resolution of prime ideals of infinite value to valuations of arbitrary rank.
dc.identifierhttps://arxiv.org/abs/0905.4518
dc.identifierhttp://arxiv.org/abs/0905.4518
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231517
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.titleFormal prime ideals of infinite value and their algebraic resolution
dc.typetext

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