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<?xml version="1.0" encoding="UTF-8"?>
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<front>
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<journal-id journal-id-type="eudml-id">urn:eudml:journal:10006</journal-id>
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<journal-id journal-id-type="cedram-id">AIF</journal-id>
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<journal-title>Annales de l’institut Fourier</journal-title>
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<abbrev-journal-title abbrev-type="short-title">Ann. inst. Fourier</abbrev-journal-title>
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<issn pub-type="ppub">0373-0956</issn>
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<issn pub-type="epub">1777-5310</issn>
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<publisher>
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<publisher-name>Association des Annales de l’institut Fourier</publisher-name>
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<issue-id pub-id-type="eudml-id">urn:eudml:journal:10006_2007_57_3</issue-id>
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<year-id pub-id-type="eudml-id">urn:eudml:journal:10006_2007</year-id>
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<volume-id pub-id-type="eudml-id">urn:eudml:journal:10006_2007_57</volume-id>
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<article-id pub-id-type="eudml-id">urn:eudml:doc:10238</article-id>
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<article-id pub-id-type="cedram-id">AIF_2007__57_3_703_0</article-id>
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<article-id pub-id-type="doi">10.1016/j.lisr.2011.06.002</article-id>
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<title-group>
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<article-title>Analytic inversion of adjunction: blabla extension theorems with gain</article-title>
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<trans-title-group xml:lang="fr">
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<trans-title>L’inversion analytique d’adjonction : théorèmes de prolongement avec gain</trans-title>
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</title-group>
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<contrib contrib-type="author">
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<name>
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<surname>McNeal</surname>
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<given-names>Jeffery D.</given-names>
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</name>
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<address>
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<addr-line>Department of Mathematics 100 mathematics building 231 W. 18th avenue Columbus, Ohio 43210-1174 (USA)</addr-line>
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</address>
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</contrib>
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<contrib contrib-type="author">
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<name>
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<surname>Varolin</surname>
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<given-names>Dror</given-names>
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</name>
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<address>
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<addr-line>Stony Brook University Department of Mathematics Stony Brook NY 11794-3651 (USA)</addr-line>
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</address>
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</contrib>
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<pub-date>
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<year>2007</year>
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<volume>57</volume>
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<issue>3</issue>
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<issue-id pub-id-type="cedram-id">AIF_2007__57_3</issue-id>
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<fpage>703</fpage>
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<lpage>718</lpage>
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<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="mr-item-id" xlink:href="http://www.ams.org/mathscinet-getitem?mr=2336826">2336826</ext-link>
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<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="zbl-item-id" xlink:href="http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:pre05176602">pre05176602</ext-link>
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<history>
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<date date-type="received">
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<day>25</day>
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<month>07</month>
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<year>2005</year>
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<date date-type="accepted">
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<day>20</day>
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<month>02</month>
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<year>2006</year>
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<self-uri xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://www.cedram.org/item?id=AIF_2007__57_3_703_0">Access to full text</self-uri>
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<abstract>
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<p>Some abstract text...</p>
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</abstract>
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<trans-abstract xml:lang="fr">
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<p>Nous établissons des résultats nouveaux sur le prolongement <inline-formula id="w1370aab1b3c31b1b1">
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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
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<mml:msup>
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<mml:mi>L</mml:mi>
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<mml:mn>2</mml:mn>
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</mml:msup>
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<tex-math>$L^2$</tex-math>
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</alternatives>
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</inline-formula> à poids des formes holomorphes de degré maximal avec des valeurs dans un fibré linéaire, d’une hypersurface holomorphe lisse définie par une fonction holomorphe. Les poids que nous employons sont déterminés par certaines fonctions que nous appelons des dénominateurs. Nous donnons une collection d’exemples de ces dénominateurs liés au diviseur défini par la sous-variété.</p>
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</trans-abstract>
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<kwd-group kwd-group-type="msc">
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<kwd>32A99</kwd>
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<kwd>32Q99</kwd>
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</kwd-group>
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<kwd-group xml:lang="fr">
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<kwd>Ohsawa-Takegoshi-type extension</kwd>
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<kwd>technique de Bochner-Kodaira tordue</kwd>
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<kwd>dénominateurs</kwd>
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</kwd-group>
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<kwd>Ohsawa-Takegoshi-type extension</kwd>
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<kwd>twisted Bochner-Kodaira technique</kwd>
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<kwd>denominators</kwd>
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<meta-value>cedram</meta-value>
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</front>
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<back>
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<name>
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<surname>Berndtsson</surname>
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<given-names>B.</given-names>
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</name>
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<article-title>The extension theorem of Ohsawa-Takegoshi and the theorem of Donnelly-Fefferman</article-title>
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<source>Ann. Inst. Fourier (Grenoble)</source>
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<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="zbl-item-id" xlink:href="http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:1066.14021">1066.14021</ext-link>
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<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="mr-item-id" xlink:href="http://www.ams.org/mathscinet-getitem?mr=1386844">1386844</ext-link>
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<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="zbl-item-id" xlink:href="http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:0865.32009">0865.32009</ext-link>
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<name>
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<surname>McNeal</surname>
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<given-names>J. D.</given-names>
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</name>
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<article-title>On large values of <inline-formula id="w1370aab3b1b9b3b7b1">
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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
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<tex-math>$L^2$</tex-math>
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</alternatives>
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</inline-formula> holomorphic functions</article-title>
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<source>Math. Res. Let.</source>
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<year>1996</year>
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<volume>3</volume>
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<fpage>247</fpage>
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<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="eudml-item-id" xlink:href="http://eudml.org/doc/174768">174768</ext-link>
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<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="mr-item-id" xlink:href="http://www.ams.org/mathscinet-getitem?mr=1337216">1337216</ext-link>
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<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="zbl-item-id" xlink:href="http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:0823.32006">0823.32006</ext-link>
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<name>
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<surname>Ohsawa</surname>
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<given-names>T.</given-names>
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</name>
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<article-title>On the extension of <inline-formula id="w1370aab3b1c11b3b7b1">
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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
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<tex-math>$L^2$</tex-math>
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</alternatives>
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</inline-formula> holomorphic functions. III. Negligible weights</article-title>
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<source>Math. Z.</source>
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<year>1995</year>
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<volume>219</volume>
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<issue>2</issue>
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<fpage>215</fpage>
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<lpage>225</lpage>
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<page-range>215–225</page-range>
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<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="eudml-item-id" xlink:href="http://eudml.org/doc/183686">183686</ext-link>
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<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="mr-item-id" xlink:href="http://www.ams.org/mathscinet-getitem?mr=892051">892051</ext-link>
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<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="zbl-item-id" xlink:href="http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:0625.32011">0625.32011</ext-link>
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<name>
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<surname>Ohsawa</surname>
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<given-names>T.</given-names>
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</name>
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<name>
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<surname>Takegoshi</surname>
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<given-names>K.</given-names>
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</name>
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<article-title>On the extension of <inline-formula id="w1370aab3b1c13b3b9b1">
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<alternatives>
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</mml:math>
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<tex-math>$L^2$</tex-math>
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</alternatives>
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</inline-formula> holomorphic functions</article-title>
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<source>Math. Z.</source>
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<year>1987</year>
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<volume>195</volume>
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<issue>2</issue>
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<fpage>197</fpage>
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<lpage>204</lpage>
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<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="mr-item-id" xlink:href="http://www.ams.org/mathscinet-getitem?mr=1453639">1453639</ext-link>
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<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="zbl-item-id" xlink:href="http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:0941.32021">0941.32021</ext-link>
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279
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280
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