<?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>2026-04-17T05:29:27Z</responseDate><request verb="GetRecord" identifier="oai:www.recercat.cat:2117/17905" metadataPrefix="marc">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><record xmlns="http://www.loc.gov/MARC21/slim" 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://www.loc.gov/MARC21/slim http://www.loc.gov/standards/marcxml/schema/MARC21slim.xsd">
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      <subfield code="a">Muiños, Ferran</subfield>
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      <subfield code="a">Planas Vilanova, Francesc d'Assís</subfield>
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      <subfield code="c">2013-01-01</subfield>
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      <subfield code="a">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.</subfield>
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   <datafield tag="653" ind2=" " ind1=" ">
      <subfield code="a">Àrees temàtiques de la UPC::Matemàtiques i estadística</subfield>
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      <subfield code="a">Àlgebra lineal</subfield>
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      <subfield code="a">Matemàtica aplicada</subfield>
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      <subfield code="a">The equations of Rees algebras of equimultiple ideals of deviation one.</subfield>
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