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Degeneration of the Kummer sequence in characteristic \(p>0\). (English) Zbl 1237.14055

Summary: We study a deformation of the Kummer sequence to the radicial sequence over an \(\mathbb{F}_p\)-algebra, which is somewhat dual for the deformation of the Artin-Schreier sequence to the radicial sequence, studied by M. Saïdi [Hiroshima Math. J. 37, No. 2, 315–341 (2007; Zbl 1155.14025)]. We also discuss some relations between our sequences and the embedding of a finite flat commutative group scheme into a connected smooth affine commutative group schemes, constructed by Grothendieck.

MSC:

14L15 Group schemes
12G05 Galois cohomology

Citations:

Zbl 1155.14025
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References:

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