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Jun 15, 2011 at 6:42 comment added roy smith i encourage all young people to simply open these great books and start reading. prerequisites be damned. i have personally benefited from this book and don't know much about the prerequisites you list.
Jun 9, 2011 at 6:41 vote accept MZWang
Jun 7, 2011 at 1:03 comment added MZWang I have complete the study of Hartshorne II and III, but I have no background (except elementary complex analysis) at analytical aspect. Any references about analytical background for Abelian Varieties are welcome. Thank you very much!
Jun 7, 2011 at 0:58 comment added MZWang Dear Clark, Mumford used integral in the proof of lemma 1 of chapter I. The conlusion is not clear to me.
Jun 6, 2011 at 13:02 comment added Emerton As suggested by Charles Matthews's answer below, once you get past the analytic theory of the first chapter, the main prerequisites are a solid understanding of EGA style algebraic geometry (such as you might learn from Hartshorne Chapters II and III). It doesn't seem that realistic to me to read these later chapters without that background. The first chapter is different; for this some analytic background is necessary. Perhaps that is what you want to read, given your analytically oriented take on the prerequisites?
Jun 6, 2011 at 12:06 answer added Charles Matthews timeline score: 6
Jun 6, 2011 at 11:53 comment added Pete L. Clark I am having trouble remembering where harmonic analysis or measure theory comes up in Mumford's Abelian Varieties, even implicitly. How did you determine that these were prerequisites?
Jun 6, 2011 at 11:40 comment added user5117 I changed the tags to something a bit more appropriate.
Jun 6, 2011 at 11:40 history edited user5117
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Jun 6, 2011 at 11:39 history edited user5117
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Jun 6, 2011 at 11:31 comment added Qfwfq (edited title )
Jun 6, 2011 at 11:31 history edited Qfwfq CC BY-SA 3.0
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Jun 6, 2011 at 11:17 comment added Felipe Voloch I think you have the wrong title for the book.
Jun 6, 2011 at 11:12 history asked MZWang CC BY-SA 3.0