<?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-00264856v4</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="2026-05-04T09:43:07+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Positive degree and arithmetic bigness</title>
            <author role="aut">
              <persName>
                <forename type="first">Huayi</forename>
                <surname>Chen</surname>
              </persName>
              <email type="md5">204cd571a9f58c24fe45af0887e18191</email>
              <email type="domain">imj-prg.fr</email>
              <idno type="idhal" notation="string">huayi-chen</idno>
              <idno type="idhal" notation="numeric">13361</idno>
              <idno type="halauthorid" notation="string">34137-13361</idno>
              <idno type="IDREF">https://www.idref.fr/159034507</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-9199-4386</idno>
              <affiliation ref="#struct-18"/>
              <affiliation ref="#struct-2549"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Huayi</forename>
                <surname>Chen</surname>
              </persName>
              <email type="md5">204cd571a9f58c24fe45af0887e18191</email>
              <email type="domain">imj-prg.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1">
              <date type="whenSubmitted">2008-03-18 10:45:46</date>
            </edition>
            <edition n="v2">
              <date type="whenSubmitted">2008-04-30 12:00:27</date>
            </edition>
            <edition n="v3">
              <date type="whenSubmitted">2008-05-04 19:56:10</date>
            </edition>
            <edition n="v4" type="current">
              <date type="whenSubmitted">2008-05-04 20:18:08</date>
              <date type="whenWritten">2008-03-18</date>
              <date type="whenModified">2024-11-22 10:04:02</date>
              <date type="whenReleased">2008-05-04 20:23:30</date>
              <date type="whenProduced">2008-03-18</date>
              <date type="whenEndEmbargoed">2008-05-04</date>
              <ref type="file" target="https://hal.science/hal-00264856v4/document">
                <date notBefore="2008-05-04"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-00264856v4/file/artvolume.pdf" id="file-276959-371825">
                <date notBefore="2008-05-04"/>
              </ref>
              <ref type="externalLink" target="http://arxiv.org/pdf/0803.2583"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="118897">
                <persName>
                  <forename>Huayi</forename>
                  <surname>Chen</surname>
                </persName>
                <email type="md5">204cd571a9f58c24fe45af0887e18191</email>
                <email type="domain">imj-prg.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00264856</idno>
            <idno type="halUri">https://hal.science/hal-00264856</idno>
            <idno type="halBibtex">chen:hal-00264856</idno>
            <idno type="halRefHtml">2008</idno>
            <idno type="halRef">2008</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-276959-371825"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="X">École polytechnique</idno>
            <idno type="stamp" n="CMLS" corresp="X">Centre de Mathématiques Laurent Schwartz</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="IHES">Institut des hautes études scientifiques</idno>
            <idno type="stamp" n="X-DEP-MATH">Département de mathématiques de l’École polytechnique</idno>
            <idno type="stamp" n="PREPUBLICTATIONS-IHES">Prépublications de l'IHES</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="1">Not set</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Positive degree and arithmetic bigness</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Huayi</forename>
                    <surname>Chen</surname>
                  </persName>
                  <email type="md5">204cd571a9f58c24fe45af0887e18191</email>
                  <email type="domain">imj-prg.fr</email>
                  <idno type="idhal" notation="string">huayi-chen</idno>
                  <idno type="idhal" notation="numeric">13361</idno>
                  <idno type="halauthorid" notation="string">34137-13361</idno>
                  <idno type="IDREF">https://www.idref.fr/159034507</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-9199-4386</idno>
                  <affiliation ref="#struct-18"/>
                  <affiliation ref="#struct-2549"/>
                </author>
              </analytic>
              <monogr>
                <imprint/>
              </monogr>
              <idno type="arxiv">0803.2583</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="math.math-ag">Mathematics [math]/Algebraic Geometry [math.AG]</classCode>
              <classCode scheme="halDomain" n="math.math-nt">Mathematics [math]/Number Theory [math.NT]</classCode>
              <classCode scheme="halTypology" n="UNDEFINED">Preprints, Working Papers, ...</classCode>
              <classCode scheme="halOldTypology" n="UNDEFINED">Preprints, Working Papers, ...</classCode>
              <classCode scheme="halTreeTypology" n="UNDEFINED">Preprints, Working Papers, ...</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>We establish, for a generically big Hermitian line bundle, the convergence of truncated Harder-Narasimhan polygons and the uniform continuity of the limit. As applications, we prove a conjecture of Moriwaki asserting that the arithmetic volume function is actually a limit instead of a sup-limit, and we show how to compute the asymptotic polygon of a Hermitian line bundle, by using the arithmetic volume function.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-18" status="VALID">
          <idno type="IdRef">133379817</idno>
          <idno type="ISNI">000000040383078X</idno>
          <idno type="RNSR">199719339N</idno>
          <idno type="ROR">https://ror.org/00b7djk73</idno>
          <idno type="Wikidata">Q16008923</idno>
          <orgName>Centre de Mathématiques Laurent Schwartz</orgName>
          <orgName type="acronym">CMLS</orgName>
          <date type="start">1997-01-01</date>
          <desc>
            <address>
              <addrLine>Route de Saclay, 91128 Palaiseau Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://cmls.ip-paris.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300340" type="direct"/>
            <relation active="#struct-563936" type="indirect"/>
            <relation name="UMR7640" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-2549" status="VALID">
          <orgName>Institut des Hautes Études Scientifiques</orgName>
          <orgName type="acronym">IHES</orgName>
          <desc>
            <address>
              <addrLine>35 route de Chartres 91440 Bures sur Yvette</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ihes.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300035" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300340" status="VALID">
          <idno type="IdRef">027309320</idno>
          <idno type="ISNI">0000000121581279</idno>
          <idno type="ROR">https://ror.org/05hy3tk52</idno>
          <idno type="Wikidata">Q273626</idno>
          <orgName>École polytechnique</orgName>
          <orgName type="acronym">X</orgName>
          <date type="start">1794-03-11</date>
          <desc>
            <address>
              <addrLine>Route de Saclay, 91128 Palaiseau Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.polytechnique.edu/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-563936" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-563936" status="VALID">
          <idno type="IdRef">238327159</idno>
          <idno type="ISNI">0000000502717600</idno>
          <idno type="ROR">https://ror.org/042tfbd02</idno>
          <idno type="Wikidata">Q48759778</idno>
          <orgName>Institut Polytechnique de Paris</orgName>
          <orgName type="acronym">IP Paris</orgName>
          <date type="start">2019-06-02</date>
          <desc>
            <address>
              <addrLine>Route de Saclay, 91120 Palaiseau Cedex, France</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.ip-paris.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>
        <org type="institution" xml:id="struct-300035" status="VALID">
          <orgName>IHES</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>