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Mar 7, 2014 at 13:47 comment added user76758 Oort's book "Commutative group schemes" has a very nice discussion of both the representability of functor $T \mapsto {\rm{Ext}}^1_T(A_T, {\mathbf{G}}_m)$ by the dual abelian scheme when the latter exists (which is always the case, by the result of Raynaud) and not only the relation of its $n$-torsion with Cartier dual of that of $A$ but also the more subtle issue of relating double-duality on both sides. Oda's paper addresses the double-duality aspect (and much more) in its first section.
Mar 7, 2014 at 13:22 comment added Kestutis Cesnavicius For the perfectness of the Weil pairing, see Oda "The first de Rham cohomology and Dieudonne modules", esp. Thm. 1.1.
Mar 7, 2014 at 13:04 answer added user19475 timeline score: 0
Mar 7, 2014 at 12:48 answer added answer_bot timeline score: 3
Mar 7, 2014 at 10:59 history asked user19475 CC BY-SA 3.0