<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-04-17T15:31:03Z</responseDate><request verb="GetRecord" identifier="oai:www.recercat.cat:2117/17905" metadataPrefix="qdc">https://recercat.cat/oai/request</request><GetRecord><record><header><identifier>oai:recercat.cat:2117/17905</identifier><datestamp>2025-07-17T14:14:47Z</datestamp><setSpec>com_2072_1033</setSpec><setSpec>col_2072_452950</setSpec></header><metadata><qdc:qualifieddc xmlns:qdc="http://dspace.org/qualifieddc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://purl.org/dc/elements/1.1/ http://dublincore.org/schemas/xmls/qdc/2006/01/06/dc.xsd http://purl.org/dc/terms/ http://dublincore.org/schemas/xmls/qdc/2006/01/06/dcterms.xsd http://dspace.org/qualifieddc/ http://www.ukoln.ac.uk/metadata/dcmi/xmlschema/qualifieddc.xsd">
   <dc:title>The equations of Rees algebras of equimultiple ideals of deviation one.</dc:title>
   <dc:creator>Muiños, Ferran</dc:creator>
   <dc:creator>Planas Vilanova, Francesc d'Assís</dc:creator>
   <dc:subject>Àrees temàtiques de la UPC::Matemàtiques i estadística</dc:subject>
   <dc:subject>Àlgebra lineal</dc:subject>
   <dc:subject>Matemàtica aplicada</dc:subject>
   <dcterms:abstract>We describe the equations of the Rees algebra R(I) of an equimultiple&#xd;
ideal I of deviation one provided that I has a reduction generated&#xd;
by a regular sequence x1, . . . , xs such that the initial forms x∗&#xd;
1, . . . , x∗&#xd;
s−1 are&#xd;
a regular sequence in the associated graded ring. In particular, we prove that&#xd;
there is a single equation of maximum degree in a minimal generating set of&#xd;
the equations of R(I), which recovers some previous known results.</dcterms:abstract>
   <dcterms:abstract>Postprint (published version)</dcterms:abstract>
   <dcterms:issued>2013-01-01</dcterms:issued>
   <dc:type>Article</dc:type>
   <dc:relation>http://www.ams.org/journals/proc/2013-141-04/S0002-9939-2012-11398-X/S0002-9939-2012-11398-X.pdf</dc:relation>
   <dc:rights>http://creativecommons.org/licenses/by-nc-nd/3.0/es/</dc:rights>
   <dc:rights>Open Access</dc:rights>
   <dc:rights>Attribution-NonCommercial-NoDerivs 3.0 Spain</dc:rights>
</qdc:qualifieddc></metadata></record></GetRecord></OAI-PMH>