<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-00757355</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-22T14:33:27+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">An approach of the Minimal Model Program for horospherical varieties via moment polytopes</title>
            <author role="aut">
              <persName>
                <forename type="first">Boris</forename>
                <surname>Pasquier</surname>
              </persName>
              <email type="md5">6227a138a0b83c5ab5f9241e7e22fdbc</email>
              <email type="domain">ujf-grenoble.fr</email>
              <idno type="idhal" notation="string">boris-pasquier</idno>
              <idno type="idhal" notation="numeric">1039981</idno>
              <idno type="halauthorid" notation="string">177023-1039981</idno>
              <idno type="IDREF">https://www.idref.fr/112518567</idno>
              <affiliation ref="#struct-631"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Boris</forename>
                <surname>Pasquier</surname>
              </persName>
              <email type="md5">526c378e2cb872957a3c78d96ea5abac</email>
              <email type="domain">math.univ-poitiers.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2012-11-26 16:50:33</date>
              <date type="whenWritten">2012-11-26</date>
              <date type="whenModified">2026-01-20 15:13:19</date>
              <date type="whenReleased">2012-11-27 09:21:10</date>
              <date type="whenProduced">2015</date>
              <date type="whenEndEmbargoed">2012-11-26</date>
              <ref type="file" target="https://hal.science/hal-00757355v1/document">
                <date notBefore="2012-11-26"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-00757355v1/file/MMPviapoly.pdf" id="file-757355-573627">
                <date notBefore="2012-11-26"/>
              </ref>
              <ref type="externalLink" target="http://arxiv.org/pdf/1211.6229"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="162503">
                <persName>
                  <forename>Boris</forename>
                  <surname>Pasquier</surname>
                </persName>
                <email type="md5">526c378e2cb872957a3c78d96ea5abac</email>
                <email type="domain">math.univ-poitiers.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00757355</idno>
            <idno type="halUri">https://hal.science/hal-00757355</idno>
            <idno type="halBibtex">pasquier:hal-00757355</idno>
            <idno type="halRefHtml">&lt;i&gt;Journal für die reine und angewandte Mathematik&lt;/i&gt;, 2015, 708, pp.173-212. &lt;a target="_blank" href="https://dx.doi.org/10.1515/crelle-2013-0103"&gt;&amp;#x27E8;10.1515/crelle-2013-0103&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Journal für die reine und angewandte Mathematik, 2015, 708, pp.173-212. &amp;#x27E8;10.1515/crelle-2013-0103&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-757355-573627"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UNIV-MONTP2">Université Montpellier II - Sciences et Techniques du Languedoc</idno>
            <idno type="stamp" n="I3M_UMR5149">Institut de Mathématiques et de Modélisation de Montpellier</idno>
            <idno type="stamp" n="IMMM">Institut de Mathématiques et de Modélisation de Montpellier</idno>
            <idno type="stamp" n="IMAG-MONTPELLIER">Institut Montpelliérain Alexander Grothendieck</idno>
            <idno type="stamp" n="UNIV-MONTPELLIER">Université de Montpellier</idno>
            <idno type="stamp" n="UM-2015-2021" corresp="UNIV-MONTPELLIER">Université de Montpellier (2015-2021)</idno>
          </seriesStmt>
          <notesStmt>
            <note type="commentary">33 pages, 5 figures</note>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">An approach of the Minimal Model Program for horospherical varieties via moment polytopes</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Boris</forename>
                    <surname>Pasquier</surname>
                  </persName>
                  <email type="md5">6227a138a0b83c5ab5f9241e7e22fdbc</email>
                  <email type="domain">ujf-grenoble.fr</email>
                  <idno type="idhal" notation="string">boris-pasquier</idno>
                  <idno type="idhal" notation="numeric">1039981</idno>
                  <idno type="halauthorid" notation="string">177023-1039981</idno>
                  <idno type="IDREF">https://www.idref.fr/112518567</idno>
                  <affiliation ref="#struct-631"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">14990</idno>
                <idno type="issn">0075-4102</idno>
                <idno type="eissn">1435-5345</idno>
                <title level="j">Journal für die reine und angewandte Mathematik</title>
                <imprint>
                  <publisher>Walter de Gruyter</publisher>
                  <biblScope unit="volume">708</biblScope>
                  <biblScope unit="pp">173-212</biblScope>
                  <date type="datePub">2015</date>
                </imprint>
              </monogr>
              <idno type="arxiv">1211.6229</idno>
              <idno type="doi">10.1515/crelle-2013-0103</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">toric varieties</term>
                <term xml:lang="en">Horospherical varieties</term>
                <term xml:lang="en">Minimal Model Program</term>
                <term xml:lang="en">Moment polytopes</term>
              </keywords>
              <classCode scheme="classification">14E30 14M25 52B20 14M17</classCode>
              <classCode scheme="halDomain" n="math.math-ag">Mathematics [math]/Algebraic Geometry [math.AG]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>We describe the Minimal Model Program in the family of $\mathbb{Q}$-Gorenstein projective horospherical varieties, by studying a family of polytopes defined from the moment polytope of a Cartier divisor of the variety we begin with. In particular, we generalize the results on MMP in toric varieties due to M.~Reid, and we complete the results on MMP in spherical varieties due to M.~Brion in the case of horospherical varieties.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-631" status="OLD">
          <orgName>Institut de Mathématiques et de Modélisation de Montpellier</orgName>
          <orgName type="acronym">I3M</orgName>
          <desc>
            <address>
              <addrLine>Case Courrier 051 Place Eugène Bataillon 34095 MONTPELLIER CEDEX 5</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.math.univ-montp2.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-92690" type="direct"/>
            <relation active="#struct-410122" type="direct"/>
            <relation name="UMR5149" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-92690" status="OLD">
          <orgName>Université Montpellier 2 - Sciences et Techniques</orgName>
          <orgName type="acronym">UM2</orgName>
          <date type="end">2014-12-31</date>
          <desc>
            <address>
              <addrLine>Place Eugène Bataillon - 34095 Montpellier cedex 5</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-montp2.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-410122" status="OLD">
          <idno type="ISNI">0000000120970141</idno>
          <idno type="ROR">https://ror.org/051escj72</idno>
          <orgName>Université de Montpellier</orgName>
          <orgName type="acronym">UM</orgName>
          <date type="end">2021-12-31</date>
          <desc>
            <address>
              <addrLine>163 rue Auguste Broussonnet - 34090 Montpellier</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.umontpellier.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>