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Timeline for Finiteness of Tate-Shafarevich

Current License: CC BY-SA 3.0

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May 10, 2012 at 14:18 history edited Eugene CC BY-SA 3.0
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May 9, 2012 at 20:20 history edited Eugene CC BY-SA 3.0
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May 9, 2012 at 3:41 answer added Rob Harron timeline score: 12
May 9, 2012 at 3:13 history edited Eugene CC BY-SA 3.0
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May 9, 2012 at 3:12 comment added Chandan Singh Dalawat John Tate (On the conjectures of Birch and Swinnerton-Dyer and a geometric analog. Séminaire Bourbaki, 9 (1964-1966), Exposé No. 306, 26 p. numdam.org/numdam-bin/fitem?id=SB_1964-1966__9__415_0) says that Another deep conjecture underlying [the Birch and Swinnerton-Dyer] Conjecture is that Ш is finite. He doesn't attribute this finiteness conjecture to anybody, so presumably he is the author.
May 9, 2012 at 2:41 comment added B R For what it is worth, it does not seem to appear in the original Lang-Tate paper ("Principal Homogeneous Spaces over Abelian Varieties"), see Theorem 5 and the two preceding paragraphs on p. 681. I don't have easy access to Shafarevich's paper.
May 9, 2012 at 2:32 history edited Eugene CC BY-SA 3.0
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May 9, 2012 at 2:18 history asked Eugene CC BY-SA 3.0