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Apr 29, 2013 at 10:00 comment added Emerton Dear Dmiry, I think that this is what people call the universal vector extension of $E$, and there is an old LNM by Mazur and (maybe?) Messing about it. It is a quasiprojective variety (which in particular has an underlying rigid analytic space). Regards, Matthew
Apr 29, 2013 at 8:12 history asked Dmitry Vaintrob CC BY-SA 3.0