Role Model: Lesley Rees

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Rees Valuations

This expository paper contains history, definitions, constructions, and the basic properties of Rees valuations of ideals. A section is devoted to one-fibered ideals, that is, ideals with only one Rees valuation. Cutkosky [5] proved that there exists a two-dimensional complete Noetherian local integrally closed domain in which no zero-dimensional ideal is one-fibered. However, no concrete ring ...

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Library Assessment Workgroup (Lesley University). Faculty Information and Research Needs: A Qualitative Study of Lesley University and Episcopal Divinity School Faculty. Cambridge, Mass.: Lesley University Library, 2013. 126p. Available online at http: //ir.flo.org/lesley/fileDownloadForInstitutionalItem.action?itemId=2096&itemFileId=2101

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Rees Algebras of Modules

We study Rees algebras of modules within a fairly general framework. We introduce an approach through the notion of Bourbaki ideals that allow the use of deformation theory. One can talk about the (essentially unique) Bourbaki ideal I(E) of a module E which, in many situations, allows to reduce the nature of the Rees algebra of E to that of its Bourbaki ideal I(E). Properties such as Cohen–Maca...

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Multiplicities and Rees Valuations

Let (R, m) be a local ring of Krull dimension d and I ⊆ R be an ideal with analytic spread d. We show that the j-multiplicity of I is determined by the Rees valuations of I centered on m. We also discuss a multiplicity that is the limsup of a sequence of lengths that grow at an O(nd) rate.

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ژورنال

عنوان ژورنال: BMJ

سال: 2019

ISSN: 0959-8138,1756-1833

DOI: 10.1136/bmj.l514