脡l茅ments de g茅om茅trie alg茅brique : IV. 脡tude locale des sch茅mas et des morphismes de sch茅mas, Premi猫re partie

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<img src="/static/ptf/img/pdf.gif"> </a> <a href="/item/PMIHES_1964__20__5_0.djvu"> <img src="/static/ptf/img/djvu.png"> </a> </div> </div> </div> </div> </div> <div class="row" style="margin:10px"> <div style="margin-bottom:10px; margin-top:20px" class="relations-div col-xs-12"> <i class="fa fa-info-circle" aria-hidden="true"></i> partie pr茅c茅dente <a href="/item/PMIHES_1963__17__5_0/"> <span class="common-title article-title"> 脡l茅ments de g茅om茅trie alg茅brique : III. 脡tude cohomologique des faisceaux coh茅rents, Seconde partie </span> </a> <br> <i class="fa fa-info-circle" aria-hidden="true"></i> partie suivante <a href="/item/PMIHES_1965__24__5_0/"> <span class="common-title article-title"> 脡l茅ments de g茅om茅trie alg茅brique : IV. 脡tude locale des sch茅mas et des morphismes de sch茅mas, Seconde partie </span> </a> </div> </div> <div class="row" style="margin:0px"> <div class="col-xs-12"> <div style="margin-top:10px;margin-bottom:10px"> <ul class="nav nav-tabs article-tab"> <li 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href="#bibtex">BibTeX</a></li> <li role="presentation"><a data-toggle="pill" href="#ris">RIS</a></li> <li role="presentation"><a data-toggle="pill" href="#enw">EndNote</a></li> </ul> <div class="tab-content"> <div id="bibtex" class="tab-pane fade in active"> <pre class="upper-right-content" id="bibtex-div">@article{PMIHES_1964__20__5_0, author = {Grothendieck, Alexander}, title = {\'El\'ements de g\'eom\'etrie alg\'ebrique : {IV.} {\'Etude} locale des sch\'emas et des morphismes de sch\'emas, {Premi\`ere} partie}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {5--259}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {20}, year = {1964}, zbl = {0136.15901}, language = {fr}, url = {http://www.numdam.org/item/PMIHES_1964__20__5_0/} }</pre> <button class="fa fa-clipboard copy-button btn btn-primary" data-clipboard-action="copy" data-clipboard-target="#bibtex-div" aria-hidden="true" title="Copier dans le presse-papier"></button> <a class="fa fa-download export-button btn btn-primary" title="T茅l茅charger" href="/export_citation/PMIHES_1964__20__5_0/bib/"></a> </div> <div id="ris" class="tab-pane fade"> <pre class="upper-right-content" id="ris-div">TY - JOUR AU - Grothendieck, Alexander TI - 脡l茅ments de g茅om茅trie alg茅brique : IV. 脡tude locale des sch茅mas et des morphismes de sch茅mas, Premi猫re partie JO - Publications Math茅matiques de l'IH脡S PY - 1964 SP - 5 EP - 259 VL - 20 PB - Institut des Hautes 脡tudes Scientifiques UR - http://www.numdam.org/item/PMIHES_1964__20__5_0/ LA - fr ID - PMIHES_1964__20__5_0 ER - </pre> <button class="fa fa-clipboard copy-button btn btn-primary" data-clipboard-action="copy" data-clipboard-target="#ris-div" aria-hidden="true" title="Copier dans le presse-papier"></button> <a class="fa fa-download export-button btn btn-primary" title="T茅l茅charger" href="/export_citation/PMIHES_1964__20__5_0/ris/"></a> </div> <div id="enw" class="tab-pane fade"> <pre class="upper-right-content" id="enw-div">%0 Journal Article %A Grothendieck, Alexander %T 脡l茅ments de g茅om茅trie alg茅brique : IV. 脡tude locale des sch茅mas et des morphismes de sch茅mas, Premi猫re partie %J Publications Math茅matiques de l'IH脡S %D 1964 %P 5-259 %V 20 %I Institut des Hautes 脡tudes Scientifiques %U http://www.numdam.org/item/PMIHES_1964__20__5_0/ %G fr %F PMIHES_1964__20__5_0</pre> <button class="fa fa-clipboard copy-button btn btn-primary" data-clipboard-action="copy" data-clipboard-target="#enw-div" aria-hidden="true" title="Copier dans le presse-papier"></button> <a class="fa fa-download export-button btn btn-primary" title="T茅l茅charger" href="/export_citation/PMIHES_1964__20__5_0/enw/"></a> </div> </div> </div> </div> <div id="how-to-cite-tab" class="tab-pane fade "> <div class="upper-right"> <pre class="upper-right-content" id="how-to-cite-div">Grothendieck, Alexander. 脡l茅ments de g茅om茅trie alg茅brique : IV. 脡tude locale des sch茅mas et des morphismes de sch茅mas, Premi猫re partie. Publications Math茅matiques de l'IH脡S, Tome 20 (1964), pp. 5-259. http://www.numdam.org/item/PMIHES_1964__20__5_0/</pre> <button class="fa fa-clipboard copy-button btn btn-primary" data-clipboard-action="copy" data-clipboard-target="#how-to-cite-div" aria-hidden="true" title="Copier dans le presse-papier"></button> </div> </div> </div> </div> </div> </div> <div class="row" style="margin:0px"> <div class="col-xs-12"> <div style="margin-top:30px;margin-bottom:10px"> <ul class="nav nav-tabs article-tab" > <li class="nav-item active" id="main-citations-li" > <a class="nav-link" data-bs-toggle="tab" data-toggle="tab" data-bs-target="#references-tab" href="#references-tab">Bibliographie</a> </li> <li class="nav-item" id="citations-html" style="display:none"> <a class="nav-link" data-bs-toggle="tab" data-toggle="tab" data-bs-target="#citations-tab" href="#citations-tab">Cit茅 par</a> </li> </ul> <div class="tab-content" style="margin-top:10px"> <div id="references-tab" class="tab-pane fade in active"> <div style="margin-top:20px;margin-bottom: 0px"> <p class="bibitemcls " > [30] <span class="citation-author">M. Nagata</span>, <span class="citation-document-title">Local rings</span>, Interscience Tracts, 13 (1962), Interscience, New York. | <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=27:5790" class="badge badge-secondary ref-badge "> MR </a> | <a href="https://zbmath.org/?q=an:0123.03402" class="badge badge-secondary ref-badge "> Zbl </a> </p> <p class="bibitemcls " > [31] <span class="citation-author">M. Nagata</span>, <span class="citation-document-title">A Jacobian criterion of simple points</span>, Ill. Journ. of Math., I (1957), p. 427-432. | <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=19,767b" class="badge badge-secondary ref-badge "> MR </a> | <a href="https://zbmath.org/?q=an:0089.26101" class="badge badge-secondary ref-badge "> Zbl </a> </p> <p class="bibitemcls " > [32] <span class="citation-author">A. N茅ron</span>, <span class="citation-document-title">Mod猫les minimaux des vari茅t茅s ab茅liennes sur les corps locaux et globaux</span>, Publ. Inst. Hautes 脡tudes Sci., n掳 21 (1964). | <a href="https://eudml.org/doc/103844" class="badge badge-secondary ref-badge "> EuDML </a> | <a href="/item/PMIHES_1964__21__5_0" class="badge badge-secondary ref-badge">Numdam</a> | <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=31:3423" class="badge badge-secondary ref-badge "> MR </a> | <a href="https://zbmath.org/?q=an:0132.41403" class="badge badge-secondary ref-badge "> Zbl </a> </p> </div> </div> </div> </div> </div> </div> </div> </div> <div id="right"> </div> </div> </div> <div id="footer"> <div class="horizontal-menu menu-footer"> <ul> <li><a href="/about/">脌 propos</a></li> <li><a href="/help/">Aide</a></li> <li><a href="/legal/">Mentions l茅gales</a></li> <li><a href="/contact/">Contact</a></li> </ul> </div> <div class="logo-footer"> <div class="logo-footer-left" style="float:left;"> </div> <div style="float:left"> <div class="lg-desktop"> <p>D茅velopp茅 par</p> </div> <div style="display:inline-block"> <a href="http://www.mathdoc.fr"><img class="logo-auto" src="/static/numdam/img/logo-mathdoc.png"/></a> </div> </div> <div style="float:left;width:5%"> </div> <div style="float:left"> <div class="lg-desktop"> <p>Soutenu par</p> </div> <div style="display:inline-block"> <a href="http://www.cnrs.fr/insmi"><img class="logo-auto" src="/static/numdam/img/logo-insmi.png"/></a>  <a href="http://www.univ-grenoble-alpes.fr/"><img class="logo-auto" src="/static/numdam/img/logo-uga.svg"/></a> </div> </div> <div style="float:left;width:5%"> </div> <div style="float:left"> <div class="lg-desktop"> <p>Partenaire de</p> </div> <div style="display:inline-block"> <a href="http://www.eudml.eu"><img class="logo-auto" src="/static/numdam/img/logo-eudml.png"/></a>  <a href="http://portail.math.cnrs.fr"><img class="logo-auto" src="/static/numdam/img/logo-portail.png"/></a> </div> </div> <div style="float:right; margin-right:20px"> <div id="logo-collex"> <a href="https://www.collexpersee.eu/"><img class="logo-auto" src="/static/numdam/img/logo-collex.png"/></a>  </div> <div id="logo-collex-lg"> <a href="https://www.collexpersee.eu/"><img class="logo-auto" src="/static/numdam/img/logo-collex.png"/></a>  </div> </div> </div> </div> <script type="text/javascript" src="/static/ptf/vendors/jquery/js/jquery-3.5.1.min.js"></script> <script type="text/javascript" src="/static/ptf/vendors/clipboard/js/clipboard.min.js"></script> <script type="text/javascript" src="/static/ptf/vendors/bootstrap/js/bootstrap.min.js"></script> <script type="text/javascript" src="/static/ptf/vendors/lightbox/js/lightbox.js"></script> <script type="text/javascript" src="/static/ptf/js/ptf.js"></script> <script type="text/javascript" src="/static/ptf/js/search-bar.js"></script> <script type="text/javascript" src="/static/numdam/vendors/owl-carousel/js/owl.carousel.min.js"></script> <script type="text/javascript" src="/static/numdam/js/scripts.js"></script> <script src="/static/ptf/js/mathjax-config.js" defer></script> <script type="text/javascript" id="MathJax-script" defer src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"> </script> </body> </html>

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脡l茅ments de g茅om茅trie alg茅brique : IV. 脡tude locale des sch茅mas et des morphismes de sch茅mas, Premi猫re partie