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Feb 10, 2017 at 1:31 comment added Eric Peterson "Comparison with Classical Dieudonné Theory" — a very promising section title!
Feb 10, 2017 at 1:29 comment added Jesse Silliman I think the final section of Mazur-Messing presents some explanation, in terms of a vector extension over the coWitt vectors, which can be pulled back to the formal group. This relates 1 and 3. The relation with 2 is more classical: for $X/\mathbb{C}$ an abelian variety, $H^1_{dr}(X)$ classifies rigidified vector extensions, identified with flat connections on rank 1 affine bundles. This is in the first half of Mazur-Messing.
Feb 10, 2017 at 0:52 comment added Eric Peterson Puzzlingly, I can't even find this in Grothendieck's Cristaux Dieudonnés et Groupes de Barsotti-Tate, even though he introduces that first presentation as motivation for his two new ones. I might be blind or bad at reading French, though.
Feb 10, 2017 at 0:36 history asked Eric Peterson CC BY-SA 3.0