In this article we prove the total symbol theorem for the $p$-adic differential
operators of degree $h\geq 0$ for the echelon filtration and the noetherianity
of the ring of the $p$-adic differential operators of degree $h\geq 0$ for the
echelon filtration over a $\dagger$-adic
affine smooth scheme small enough.
Publié le : 2011-01-15
Classification:
$p$-adic differential operator,
$p$-adic differential operator of $h\ge 0$ echelon,
total symbol,
division,
continuity,
noetherianity,
$p$-adic de Rham cohomology,
14F30,
14F10
@article{1296828829,
author = {Mebkhout
,
Zoghman},
title = {Le th\'eor\`eme du symbole total d'un op\'erateur diff\'erentiel
$p$-adique d'\'echelon $h\geq0$},
journal = {Rev. Mat. Iberoamericana},
volume = {27},
number = {1},
year = {2011},
pages = { 39-92},
language = {en},
url = {http://dml.mathdoc.fr/item/1296828829}
}
Mebkhout
,
Zoghman. Le théorème du symbole total d'un opérateur différentiel
$p$-adique d'échelon $h\geq0$. Rev. Mat. Iberoamericana, Tome 27 (2011) no. 1, pp. 39-92. http://gdmltest.u-ga.fr/item/1296828829/