{"id":3331,"date":"2013-07-06T12:20:18","date_gmt":"2013-07-06T12:20:18","guid":{"rendered":"http:\/\/math.columbia.edu\/~dejong\/wordpress\/?p=3331"},"modified":"2013-07-06T12:20:18","modified_gmt":"2013-07-06T12:20:18","slug":"proposition-of-the-day-2","status":"publish","type":"post","link":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/?p=3331","title":{"rendered":"Proposition of the day"},"content":{"rendered":"<p>Let X be a quasi-compact and quasi-separated algebraic space such that for every quasi-coherent O<sub>X<\/sub>-module F we have H<sup>1<\/sup>(X, F) = 0. Then X is an affine scheme. See <a href=\"http:\/\/stacks.math.columbia.edu\/tag\/07V6\">Tag 07V6<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Let X be a quasi-compact and quasi-separated algebraic space such that for every quasi-coherent OX-module F we have H1(X, F) = 0. Then X is an affine scheme. See Tag 07V6.<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-3331","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/3331","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3331"}],"version-history":[{"count":3,"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/3331\/revisions"}],"predecessor-version":[{"id":3337,"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/3331\/revisions\/3337"}],"wp:attachment":[{"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3331"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3331"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3331"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}