{"id":5729,"date":"2012-12-11T14:44:38","date_gmt":"2012-12-11T14:44:38","guid":{"rendered":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/?p=5729"},"modified":"2012-12-11T22:13:25","modified_gmt":"2012-12-11T22:13:25","slug":"5729","status":"publish","type":"post","link":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/?p=5729","title":{"rendered":"News"},"content":{"rendered":"<p>We just posted two papers to the arXiv:<\/p>\n<p><a title=\"Abstract\" href=\"http:\/\/uk.arxiv.org\/abs\/1212.1722\">arXiv:1212.1722<\/a> Mirror symmetry and Fano manifolds (Coates, Corti, Galkin, Golyshev, Kasprzyk). \u00a0This announces our program.<\/p>\n<p><a title=\"Abstract\" href=\"http:\/\/uk.arxiv.org\/abs\/1212.1785\">arXiv:1212.1785<\/a> Minkowski polynomials and mutations (Akhtar, Coates, Galkin, Kasprzyk). \u00a0This gives a very clean and satisfactory explanation of why a 3-dimensional Fano manifold will in general have many different Minkowski polynomials as mirrors.<\/p>\n<p>The ordering of the 165 period sequences in the second paper is not the same the one in this blog&#8217;s\u00a0 page &#8220;3d Minkowski period sequences&#8221;<\/p>\n<p>In the new scheme period sequences are ordered lexicographically<a title=\"3d Minkowski period sequences\" href=\"http:\/\/grdb.lboro.ac.uk\/forms\/period3\">\u00a0http:\/\/grdb.lboro.ac.uk\/forms\/period3<\/a><\/p>\n<p><em>Update<\/em>: the correspondence between smooth Fano 3-folds and period sequences (with the new ids) is <a title=\"here\" href=\"http:\/\/grdb.lboro.ac.uk\/misc\/morimukai.php\">here<\/a>. \u00a0We will sort out the rest of the blog shortly.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We just posted two papers to the arXiv: arXiv:1212.1722 Mirror symmetry and Fano manifolds (Coates, Corti, Galkin, Golyshev, Kasprzyk). \u00a0This announces our program. arXiv:1212.1785 Minkowski polynomials and mutations (Akhtar, Coates, Galkin, Kasprzyk). \u00a0This gives a very clean and satisfactory explanation of why a 3-dimensional Fano manifold will in general have many different Minkowski polynomials as [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-5729","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/posts\/5729","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5729"}],"version-history":[{"count":10,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/posts\/5729\/revisions"}],"predecessor-version":[{"id":5740,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/posts\/5729\/revisions\/5740"}],"wp:attachment":[{"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5729"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5729"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5729"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}