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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.

Degree three cohomological invariants of semisimple groups

Alexander Merkurjev (2016)

Journal of the European Mathematical Society

We study the degree 3 cohomological invariants with coefficients in / ( 2 ) of a semisimple group over an arbitrary field. A list of all invariants of adjoint groups of inner type is given.

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