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Serre–Tate theorem

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Serre–Tate theorem

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About Serre–Tate theorem

In algebraic geometry, the Serre–Tate theorem says that an abelian scheme and its p-divisible group have the same infinitesimal deformation theory. This was first proved by Jean-Pierre Serre when the reduction of the abelian variety is ordinary, using the Greenberg functor; then John Tate gave a proof in the general case by a different method. Their proofs were not published, but they were summarized in the notes of the Lubin–Serre–Tate seminar. Other proofs were published by Messing (1962) and Drinfeld (1976).

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