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May 12, 2011 at 21:16 comment added roy smith If you can get hold of the first edition, or get the original Russian Math Surveys article it was based on, most of the needed commutative algebra is included in the text.
Aug 13, 2010 at 14:45 comment added David Corwin I agree that it's very nice, though as far as I can tell, it requires some commutative algebra background (see, for example, the appendix to it).
Aug 12, 2010 at 2:44 comment added The Mathemagician I like this book and it's second volume immensely as well.Many experts in AG-like Micheal Artin-strongly advise a stepwise learning of AG from classical machinery like algebraic curves to the "intermediate" formulation by varieties to the modern formulation by schemes.The modern machinery is so abstract,it's very hard to motivate it without this kind of "psuedohistorical" approach.I tend to agree,although I'm far from an expert.
Aug 11, 2010 at 23:59 comment added Thierry Zell I second that suggestion. It has a lot of good topics and very good exposition.
Aug 11, 2010 at 23:43 history made wiki Post Made Community Wiki by S. Carnahan
Aug 11, 2010 at 23:40 history edited Dylan Moreland CC BY-SA 2.5
Fixed the Amazon link. I wish there were something similarly canonical and less commercial, but oh well.
Aug 11, 2010 at 23:29 history answered Dylan Moreland CC BY-SA 2.5