semistable?

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11 events

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Mar 24, 2010 at 21:44	comment	added	Emerton		If you would like to understand, you could begin with Tate's article on $p$-divisible groups.
Mar 24, 2010 at 13:23	comment	added	natura		the most mysterious thing for me is how they actually proved these things.
Mar 15, 2010 at 22:48	comment	added	Emerton		Dear Chandan, Thanks for your comment. I had forgotten the order of events (whether Berger's result came before or after the work on $p$-adic differential equations of Andre, Kedlaya, and Mebkhout), but no doubt Fontaine has gotten it right. It is probably best to mention all four authors, and I will edit my post to reflect this.
Mar 15, 2010 at 22:46	history	edited	Emerton	CC BY-SA 2.5	added 179 characters in body
Mar 15, 2010 at 3:56	comment	added	Chandan Singh Dalawat		The equivalence `` de Rham iff potentially semistable '' is due independently to André, Kedlaya and Mebkhout; all three use Berger's results. Here is what Fontaine (arxiv.org/abs/math/0304232) writes : Berger en a ramené la preuve à un résultat sur les équations différentielles p-adiques, résultat qui a ensuite été prouvé indépendamment par André, Kedlaya et Mebkhout.
Mar 14, 2010 at 12:22	comment	added	Emerton		Thanks; I edited the above. (Colmez and Fontaine proved a different conjecture of Fontaine!)
Mar 14, 2010 at 12:21	history	edited	Emerton	CC BY-SA 2.5	deleted 10 characters in body
Mar 13, 2010 at 20:59	comment	added	TSG		I think it is more usual to attribute the equivalence of de Rham and potentially semi-stable to Berger (although there are now several proofs).
Mar 13, 2010 at 4:56	history	edited	Emerton	CC BY-SA 2.5	added 49 characters in body
Mar 13, 2010 at 4:45	history	edited	Emerton	CC BY-SA 2.5	added 618 characters in body
Mar 12, 2010 at 21:00	history	answered	Emerton	CC BY-SA 2.5