{"id":125,"date":"2010-06-16T13:39:59","date_gmt":"2010-06-16T13:39:59","guid":{"rendered":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/?p=125"},"modified":"2010-06-19T11:38:05","modified_gmt":"2010-06-19T11:38:05","slug":"should-start-groping-for-5-diml-cousin-of-v_22","status":"publish","type":"post","link":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/?p=125","title":{"rendered":"Should start groping for 5-dim&#8217;l cousin of V_22"},"content":{"rendered":"<p><img src='http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/latex\/fd6\/fd6f23903d6a3b125f4ce1e96f8df4c7-ffffff-000000-0.png' alt='V_{22}' title='V_{22}' class='latex' \/> can be characterized \u00a0as the smooth Fano of index 1 with minimal cohomology. One way to construct its D3 is by assigning 1&#8217;s to the vertices of a terminal self-dual polytope.<\/p>\n<p>Are there terminal self-dual polytopes in dim 5 that produce D5&#8217;s whose matrix entries are positive integers?<\/p>\n<p>Am I right in believing that one can search for self-duals considerably more easily than for arbitrary reflexives?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>can be characterized \u00a0as the smooth Fano of index 1 with minimal cohomology. One way to construct its D3 is by assigning 1&#8217;s to the vertices of a terminal self-dual polytope. Are there terminal self-dual polytopes in dim 5 that produce D5&#8217;s whose matrix entries are positive integers? Am I right in believing that one [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-125","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\/125","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\/5"}],"replies":[{"embeddable":true,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=125"}],"version-history":[{"count":8,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/posts\/125\/revisions"}],"predecessor-version":[{"id":132,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/posts\/125\/revisions\/132"}],"wp:attachment":[{"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=125"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=125"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=125"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}