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Jul 26 at 4:16 comment added Marsault Chabat Oh I found it @coLaideronnette it allows us to connect the Greenberg Selmer group and that of Bloch-Kato'! It's really enlightening, thank you very much!
Jul 26 at 2:16 history edited LSpice CC BY-SA 4.0
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Jul 26 at 2:05 history edited Marsault Chabat CC BY-SA 4.0
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Jul 26 at 2:03 comment added Marsault Chabat No but wait @ChrisWuthrich, I agreed to quickly. Indeed, the elementary methods are those used in the book but my question (which was not clear enough so I will edit it) is why Greenberg's conditions are the only ones to which these methods apply.
Jul 26 at 1:52 comment added Marsault Chabat @coLaideronnette thank you very much, but could you be a little bit more precise, where do you think I might find an answer in this paper?
Jul 26 at 1:51 comment added Marsault Chabat @ChrisWuthrich Yes you right this was obvious but the second question is less obvious I think.
Jul 26 at 0:11 comment added coLaideronnette See arxiv.org/pdf/1404.7386
Jul 25 at 12:35 comment added Chris Wuthrich I think the "elementary methods" refer to the content of the book itself. Nekovář uses the local conditions at places above $p$ to be the Greenberg conditions. I don't know what $p$-adic Hodge theory was/is missing to replace them by $H_f$ conditions in general.
Jul 25 at 5:19 history edited Jukka Kohonen CC BY-SA 4.0
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Jul 25 at 4:40 history edited Daniele Tampieri CC BY-SA 4.0
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Jul 25 at 4:04 history asked Marsault Chabat CC BY-SA 4.0