Degeneration of the Kummer sequence in characteristic

Yuji Tsuno[1]

  • [1] Department of Mathematics Chuo University 1-13-27 Kasuga Bunkyo-ku, Tokyo 112-8551, JAPAN

Journal de Théorie des Nombres de Bordeaux (2010)

  • Volume: 22, Issue: 1, page 219-257
  • ISSN: 1246-7405

Abstract

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We study a deformation of the Kummer sequence to the radicial sequence over an -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.

How to cite

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Tsuno, Yuji. "Degeneration of the Kummer sequence in characteristic $p&gt;0$." Journal de Théorie des Nombres de Bordeaux 22.1 (2010): 219-257. <http://eudml.org/doc/116398>.

@article{Tsuno2010,
abstract = {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 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.},
affiliation = {Department of Mathematics Chuo University 1-13-27 Kasuga Bunkyo-ku, Tokyo 112-8551, JAPAN},
author = {Tsuno, Yuji},
journal = {Journal de Théorie des Nombres de Bordeaux},
language = {eng},
number = {1},
pages = {219-257},
publisher = {Université Bordeaux 1},
title = {Degeneration of the Kummer sequence in characteristic $p&gt;0$},
url = {http://eudml.org/doc/116398},
volume = {22},
year = {2010},
}

TY - JOUR
AU - Tsuno, Yuji
TI - Degeneration of the Kummer sequence in characteristic $p&gt;0$
JO - Journal de Théorie des Nombres de Bordeaux
PY - 2010
PB - Université Bordeaux 1
VL - 22
IS - 1
SP - 219
EP - 257
AB - 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 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.
LA - eng
UR - http://eudml.org/doc/116398
ER -

References

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