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Jun 15, 2017 at 10:00 history edited Francesco Polizzi CC BY-SA 3.0
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Jun 15, 2017 at 7:43 vote accept Francesco Polizzi
Jun 14, 2017 at 21:02 comment added roy smith Thank you Francesco. Unfortunately in the 1st edition this prop does not appear, so I am trying to figure out what purpose it serves. In my version Th. 3.1 the decomposition theorem is stated on p.78, and then a strengthening of Bertini's theorem, Th. 3.5 on p. 81. It sounds as if the prop you mention might be a lemma for this Bertini theorem. I am wondering whether the original proof was correct, and just which result lacks correct details. I.e. I wonder whether the flaw you observe was an attempt to improve or correct the original version. In my book section 4.3 is from pp 77 thru 82.
Jun 14, 2017 at 19:32 comment added Francesco Polizzi It is at p. 77 of Complex Abelian varieties, second edition (2003)
Jun 14, 2017 at 19:26 comment added roy smith or maybe I am just not understanding what is there?
Jun 14, 2017 at 19:16 comment added roy smith I am unable to find this statement in my copy of Lange and Birkenhake, Complex abelian varieties, 1992 edition, and it does not seem to be in the 2nd edition either at least as searchable on amazon. Is it perhaps the other book, Complex Tori? or is there a difference in our books?
Jun 14, 2017 at 16:06 answer added abx timeline score: 9
Jun 14, 2017 at 15:52 history edited Francesco Polizzi CC BY-SA 3.0
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Jun 14, 2017 at 15:43 history edited Francesco Polizzi CC BY-SA 3.0
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Jun 14, 2017 at 15:37 history asked Francesco Polizzi CC BY-SA 3.0