Abstract
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.
Citation
Zoghman Mebkhout . "Le théorème du symbole total d'un opérateur différentiel $p$-adique d'échelon $h\geq0$." Rev. Mat. Iberoamericana 27 (1) 39 - 92, January, 2011.
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