Serre–Tate theorem

In algebraic geometry, the Serre–Tate theorem, proved by Serre and Tate (1968) says that under certain conditions an abelian scheme and its p-divisible group have the same infinitesimal deformation theory.

References

• Serre, Jean-Pierre; Tate, John (1968), "Good reduction of abelian varieties", Annals of Mathematics. Second Series 88: 492–517, doi:10.2307/1970722, ISSN 0003-486X, MR 0236190