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Degeneration of the Kummer sequence in characteristic p > 0

Yuji Tsuno (2010)

Journal de Théorie des Nombres de Bordeaux

We study a deformation of the Kummer sequence to the radicial sequence over an 𝔽 p -algebra, which is somewhat dual for the deformation of the Artin-Schreier sequence to the radicial sequence, studied by Saidi. 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.

Flasque resolutions of reductive group schemes

Cristian González-Avilés (2013)

Open Mathematics

We generalize Colliot-Thélène’s construction of flasque resolutions of reductive group schemes over a field to a broad class of base schemes.

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