<?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>2026-06-28T20:16:03Z</responseDate><request verb="GetRecord" identifier="oai:docta.ucm.es:20.500.14352/42078" metadataPrefix="marc">https://docta.ucm.es/rest/oai/request</request><GetRecord><record><header><identifier>oai:docta.ucm.es:20.500.14352/42078</identifier><datestamp>2023-08-27T11:51:41Z</datestamp><setSpec>com_20.500.14352_14</setSpec><setSpec>col_20.500.14352_15</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">Arrondo Esteban, Enrique</subfield>
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      <subfield code="a">Bertolini, Marina</subfield>
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      <subfield code="a">Turrini, Cristina</subfield>
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      <subfield code="c">2011</subfield>
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      <subfield code="a">In this paper we study the normal bundle of the embedding of subvarieties of dimension n - 1 in the Grassmann variety of lines in P(n). Making use of some results on the geometry of the focal loci of congruences ([4] and [5]), we give some criteria to decide whether the normal bundle of a congruence is ample or not. Finally we apply these criteria to the line congruences of small degree in P(3).</subfield>
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      <subfield code="a">http://dx.doi.org10.1515/FORM.2011.004</subfield>
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      <subfield code="a">https://hdl.handle.net/20.500.14352/42078</subfield>
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      <subfield code="a">On the ampleness of
the normal bundle of line congruences</subfield>
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