https://wiki.unissula.ac.id/index.php?action=history&feed=atom&title=Konjektur_Hodge 2026-09-16T08:32:16Z Riwayat revisi halaman ini di wiki MediaWiki 1.46.0 https://wiki.unissula.ac.id/index.php?title=Konjektur_Hodge&diff=9722&oldid=prev 2026-08-25T08:55:44Z

<p>Presentation V4: sitasi, referensi, Math, Wikimedia Commons, dan atribusi</p> <table style="background-color: #fff; color: #202122;" data-mw-interface=""> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="id"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisi sebelumnya</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisi per 25 Agustus 2026 08.55</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l2">Baris 2:</td> <td colspan="2" class="diff-lineno">Baris 2:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Pranala luar ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Pranala luar ==</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.claymath.org/sites/default/files/hodge.pdf The Clay Math Institute Official Problem Description by P. Deligne (pdf)]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.claymath.org/sites/default/files/hodge.pdf The Clay Math Institute Official Problem Description by P. Deligne (pdf)]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Popular lecture on Hodge Conjecture by [[Dan Freed]] (University of Texas) [http://claymath.msri.org/hodgeconjecture.mov (Real Video)] [http://www.ma.utexas.edu/users/dafr/HodgeConjecture/netscape_noframes.html (Slides)]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Popular lecture on Hodge Conjecture by [[Dan Freed]] (University of Texas) [http://claymath.msri.org/hodgeconjecture.mov (Real Video)] [http://www.ma.utexas.edu/users/dafr/HodgeConjecture/netscape_noframes.html (Slides)]</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l9">Baris 9:</td> <td colspan="2" class="diff-lineno">Baris 7:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[Burt Totaro]], [http://burttotaro.wordpress.com/2012/03/18/why-believe-the-hodge-conjecture/ Why believe the Hodge Conjecture?]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[Burt Totaro]], [http://burttotaro.wordpress.com/2012/03/18/why-believe-the-hodge-conjecture/ Why believe the Hodge Conjecture?]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[Claire Voisin]], [http://www.math.polytechnique.fr/~voisin/Articlesweb/hodgeloci.pdf Hodge loci]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[Claire Voisin]], [http://www.math.polytechnique.fr/~voisin/Articlesweb/hodgeloci.pdf Hodge loci]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Sumber dan atribusi ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Sumber dan atribusi ==</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Konjektur+Hodge&amp;oldid=22379066 Wikipedia bahasa Indonesia], revisi 22379066 (2022-12-20T01:11:53Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Konjektur+Hodge&amp;oldid=22379066 Wikipedia bahasa Indonesia], revisi 22379066 (2022-12-20T01:11:53Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;!-- WIKI_UNISSULA_PRESENTATION_V4 --&gt;</ins></div></td></tr> </table>

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<p>Impor teks terkontrol dari Wikipedia bahasa Indonesia; revisi 22379066; atribusi sumber disertakan.</p> <p><b>Halaman baru</b></p><div>Dalam [[matematika]], &#039;&#039;&#039;konjektur Hodge&#039;&#039;&#039; adalah masalah utama yang belum terpecahkan dalam bidang [[geometri aljabar]]. Konjektur ini menghubungkan [[topologi aljabar]] dari suatu [[varietas aljabar]] [[bilangan kompleks|kompleks]] [[nonsingular]] dan subvarietas dari varietas tersebut. Secara spesifik, konjektur ini menyatakan bahwa [[kohomologi de Rham]] tertentu termasuk ke dalam kelas aljabar, yaitu, mereka adalah sejumlah [[Dualitas Poincaré|dualisme Poincaré]] dari [[kelas homologi]] subvarietasnya. Konjektur ini dirumuskan oleh matematikawan Skotlandia [[William Vallance Douglas Hodge]] sebagai hasil kerja antara tahun 1930 hingga 1940 dalam rangka memperkaya deskripsi kohomologi de Rham untuk memasukkan struktur tambahan yang hadir dalam kasus varietas aljabar kompleks. Masalah ini hanya mendapat sedikit perhatian sebelum Hodge mempresentasikannya pada suatu kesempatan selama kongres matematikawan internasional &#039;&#039;[[International Congress of Mathematicians]]&#039;&#039; pada tahun 1950, yang diadakan di Cambridge, [[Massachusetts]], Amerika Serikat. Konjektur Hodge merupakan salah satu &#039;&#039;[[Masalah Milenium]]&#039;&#039;, suatu sayembara yang diadakan [[Institut Matematika Clay]], dengan hadiah [[Dolar Amerika Serikat|$]] 1.000.000 untuk siapa saja yang dapat membuktikan ataupun menyangkal konjektur Hodge.<br /> <br /> == Pranala luar ==<br /> <br /> <br /> * [http://www.claymath.org/sites/default/files/hodge.pdf The Clay Math Institute Official Problem Description by P. Deligne (pdf)]<br /> * Popular lecture on Hodge Conjecture by [[Dan Freed]] (University of Texas) [http://claymath.msri.org/hodgeconjecture.mov (Real Video)] [http://www.ma.utexas.edu/users/dafr/HodgeConjecture/netscape_noframes.html (Slides)]<br /> * [[Indranil Biswas]], [[Kapil Hari Paranjape|Kapil Paranjape]]. [http://arxiv.org/abs/math/0007192v1 The Hodge Conjecture for general Prym varieties]<br /> * [[Burt Totaro]], [http://burttotaro.wordpress.com/2012/03/18/why-believe-the-hodge-conjecture/ Why believe the Hodge Conjecture?]<br /> * [[Claire Voisin]], [http://www.math.polytechnique.fr/~voisin/Articlesweb/hodgeloci.pdf Hodge loci]<br /> <br /> <br /> <br /> == Sumber dan atribusi ==<br /> <br /> Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Konjektur+Hodge&amp;oldid=22379066 Wikipedia bahasa Indonesia], revisi 22379066 (2022-12-20T01:11:53Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</div>

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