Witt realization of $$p$$-adic Barsotti-Tate groups.(English)Zbl 0838.14038

Cristante, Valentino (ed.) et al., Barsotti symposium in algebraic geometry. Memorial meeting in honor of Iacopo Barsotti, in Abano Terme, Italy, June 24-27, 1991. San Diego, CA: Academic Press. Perspect. Math. 15, 65-123 (1994).
The authors give an extension of Barsotti’s theorem on “immersione canonica” to the case of a totally ramified extension of the ring of Witt vectors over an algebraically closed field of characteristic $$p > 0$$ when the degree of ramification is less than $$p - 1$$. They also clarify the meaning of some of the tools introduced by Barsotti in his study of $$p$$-adic Barsotti-Tate groups, in view of their use in the theory of the reduction of $$p$$-adic theta functions.
For the entire collection see [Zbl 0802.00020].
Reviewer: V.L.Popov (Moskva)

MSC:

 14L05 Formal groups, $$p$$-divisible groups 14G20 Local ground fields in algebraic geometry 13K05 Witt vectors and related rings (MSC2000)