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

Candilera, Maurizio; Cristante, Valentino

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)

Keywords:

\(p\)-adic Barsotti-Tate groups; reduction of \(p\)-adic theta functions; Witt vectors; degree of ramification