most recent 30 from http://mathoverflow.net 2013-06-20T03:07:57Z http://mathoverflow.net/feeds/user/14337 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/61515/life-after-hartshorne-the-book-not-the-person anonymous 2011-04-13T07:39:40Z 2011-04-15T20:30:54Z

<p>I was wondering what material in algebraic geometry is crucial and is a logical step for a serious graduate student in algebraic geometry once they've finished Hartshorne. Good answers could include a list of areas of algebraic geometry or important topics that an algebraic geometer must learn along with good references (i.e. accessible to someone with the background of Hartshorne), preferably in the order he or she should/could learn them. Papers in algebraic geometry tend to draw from so many areas within the field itself that I was wondering what people thought was the best order and way of acquiring that material.</p>

http://mathoverflow.net/questions/61515/life-after-hartshorne-the-book-not-the-person/61525#61525 anonymous 2011-04-13T09:36:36Z 2011-04-13T09:36:36Z

I'm not familiar with he book by Bart, et. al., but if you're interested in Compact Complex Surfaces, then the book by Beauville it's quite excellent. He covers the Enriques classification in a very down-to-earth nice way, given that one has the tools from Hartshorne.