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Published online by Cambridge University Press: 04 August 2010
The following three appendices are an attempt to expound many classical results of use in the book, especially around Grothendieck's algebraic geometry. In particular, we tried to give all the necessary definitions so that the statements can be understood. The proofs are in the references we indicate. Some proofs are included for a couple of more special facts (see A2.10 and A3.17) in order to avoid too many direct references to [EGA] or [SGA].
While we have given the fundamental notions, some important theorems are omitted in order to keep this exposition to a reasonable size. So we recommend the basic treatises [Hart], [Weibel], [Milne80], and some more pedagogical texts such as [GelMan94], [Danil96].
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