{"id":1212,"date":"2020-05-15T18:41:28","date_gmt":"2020-05-15T18:41:28","guid":{"rendered":"http:\/\/hedayatzadeh.info\/aag\/?p=1212"},"modified":"2020-06-15T12:36:31","modified_gmt":"2020-06-15T12:36:31","slug":"lectures-on-abelian-varieties","status":"publish","type":"post","link":"https:\/\/www.hedayatzadeh.info\/aag\/lectures-on-abelian-varieties\/","title":{"rendered":"Lectures on Abelian Varieties"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Starting May 4th, 2020, we will begin our new topic, Abelian varieties. We are going to follow three sources. These are: <\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>B. Bhatt<\/strong>&#8216;s <a rel=\"noreferrer noopener\" href=\"https:\/\/www.google.com\/url?sa=t&amp;rct=j&amp;q=&amp;esrc=s&amp;source=web&amp;cd=1&amp;cad=rja&amp;uact=8&amp;ved=2ahUKEwjtx9y3vLbpAhVDi1wKHYJDCSAQFjAAegQIBBAB&amp;url=http%3A%2F%2Fwww-personal.umich.edu%2F~stevmatt%2Fabelian_varieties.pdf&amp;usg=AOvVaw2rWlJjaIpK7pwLaa32dc_N\" target=\"_blank\">lecture notes<\/a>.<\/li><li><strong>J. Milne<\/strong>&#8216;s<a style=\"-webkit-user-select: auto;\" href=\"https:\/\/www.jmilne.org\/math\/xnotes\/AVs.html\"> <\/a><a rel=\"noreferrer noopener\" href=\"https:\/\/www.jmilne.org\/math\/xnotes\/AVs.html\" target=\"_blank\">lecture notes<\/a> published as Chapter V of the book <em style=\"-webkit-user-select: auto;\"><a rel=\"noreferrer noopener\" href=\"https:\/\/www.springer.com\/gp\/book\/9780387963112\" target=\"_blank\">Arithmetic Geometry<\/a><\/em> by G. Cornell and J. H. Silverman.<\/li><li><a rel=\"noreferrer noopener\" href=\"https:\/\/www.math.ru.nl\/~bmoonen\/research.html#bookabvar\" target=\"_blank\">The book<\/a> by <strong>B. Edixhoven, G. van Der Geer and B. Moonen<\/strong>.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/hedayatzadeh.info\/aag\/wp-content\/uploads\/2020\/05\/AV-Syllabus.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Here<\/a> is the syllabus of our reading course.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The prerequisites are basic knowledge of algebraic geometry, say chapters 2 and 3 of R. Hartshorne&#8217;s <em style=\"-webkit-user-select: auto;\">Algebraic Geometry<\/em> book, and basic knowledge of group schemes, say W. Waterhouse&#8217;s <em style=\"-webkit-user-select: auto;\">Affine Group Schemes<\/em> book (that we just finished in this class).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Because of the <strong style=\"-webkit-user-select: auto;\">Covid-19<\/strong> situation, our class will be held online. If you would like to actively participate in the class, please send me an email and I will add you to our online meeting group. The class takes place on <strong style=\"-webkit-user-select: auto;\">Monday<\/strong> at <strong style=\"-webkit-user-select: auto;\">4 pm<\/strong>. <\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Starting May 4th, 2020, we will begin our new topic, Abelian varieties. We are going to follow three sources. These are: B. Bhatt&#8216;s lecture notes. J. Milne&#8216;s lecture notes published as Chapter V of the book Arithmetic Geometry by G. Cornell and J. H. Silverman. The book by B. Edixhoven, G. van Der Geer and [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[41,42],"tags":[],"class_list":["post-1212","post","type-post","status-publish","format-standard","hentry","category-course","category-events"],"_links":{"self":[{"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/posts\/1212","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/comments?post=1212"}],"version-history":[{"count":15,"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/posts\/1212\/revisions"}],"predecessor-version":[{"id":1326,"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/posts\/1212\/revisions\/1326"}],"wp:attachment":[{"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/media?parent=1212"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/categories?post=1212"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/tags?post=1212"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}