{"id":358,"date":"2017-01-18T08:50:48","date_gmt":"2017-01-18T08:50:48","guid":{"rendered":"https:\/\/blog.vanabel.cn\/?p=358"},"modified":"2017-01-18T08:50:48","modified_gmt":"2017-01-18T08:50:48","slug":"2015nianduofubianqimozuoye","status":"publish","type":"post","link":"https:\/\/blog.vanabel.cn\/?p=358","title":{"rendered":"2015\u5e74\u591a\u590d\u53d8\u671f\u672b\u4f5c\u4e1a"},"content":{"rendered":"<ol><li>\u53d9\u8ff0\u5e76\u8bc1\u660eCalabi-Yau\u5b9a\u7406.<\/li><li>\u53d9\u8ff0\u5e76\u8bc1\u660e\u5168\u7eaf\u5411\u91cf\u4e1b\u4e0a\u7684Hitchin-Kobayashi correspondence.<\/li><li>\u53d9\u8ff0\u5e76\u8bc1\u660eKodaira\u6d88\u706d\u5b9a\u7406(Vanishing theorem).<\/li><li>\u53d9\u8ff0\u5e76\u7b80\u77ed\u8bc1\u660eKodaira\u5d4c\u5165\u5b9a\u7406(Embedding theorem).<\/li><li>\u8bc1\u660e\u4e0b\u5217\u6bd4\u8f83\u539f\u7406(comparison principle): \u8bbe$\\Omega$\u662f$\\mathbb{C}^n$\u4e2d\u7684\u6709\u754c\u533a\u57df, \u5b9e\u51fd\u6570$u,v\\in L^\\infty(\\Omega)$\u662f\u591a\u91cd\u6b21\u8c03\u548c, \u4e14\u5728\u8fb9\u754c$\\partial\\Omega$\u5904\u6210\u7acb$(u-v)|_{\\partial\\Omega}\\geq0$. \u5982\u679c\u5728$\\Omega$\u4e0a\u6210\u7acb$(\\sqrt{-1}\\partial\\bar\\partial u)^n\\leq(\\sqrt{-1}\\partial\\bar\\partial v)^n$(current\u610f\u4e49\u4e0b), \u5219\u5728$\\Omega$\u4e0a\u5fc5\u6210\u7acb$v\\leq u$.(\u63d0\u793a, \u53ef\u5148\u5047\u8bbe$u,v$\u4e8c\u6b21\u53ef\u5fae)<\/li><li>\u8bc1\u660e: \u7d27\u590d\u6d41\u5f62\u5982\u679c\u5176\u7b2c\u4e00\u9648\u7c7b\u8d1f\u5b9a, \u5219\u5176\u4e0a\u5fc5\u4e0d\u5b58\u5728\u975e\u96f6\u7684\u5168\u7eaf\u5411\u91cf\u573a.<\/li><li>\u8bc1\u660eHopf\u6d41\u5f62\u4e0a\u5fc5\u4e0d\u5b58\u5728Kahler\u5ea6\u91cf.<\/li><\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u53d9\u8ff0\u5e76\u8bc1\u660eCalabi-Yau\u5b9a\u7406.\u53d9\u8ff0\u5e76\u8bc1\u660e\u5168\u7eaf\u5411\u91cf\u4e1b\u4e0a\u7684Hitchin-Kobayashi corresp&hellip; <a class=\"more-link\" href=\"https:\/\/blog.vanabel.cn\/?p=358\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">2015\u5e74\u591a\u590d\u53d8\u671f\u672b\u4f5c\u4e1a<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[63,64],"class_list":["post-358","post","type-post","status-publish","format-standard","hentry","category-math","tag-duofubian","tag-shiti","entry"],"_links":{"self":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/358","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=358"}],"version-history":[{"count":1,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/358\/revisions"}],"predecessor-version":[{"id":359,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/358\/revisions\/359"}],"wp:attachment":[{"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=358"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=358"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=358"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}