Le théorème du symbole total d’un opérateur différentiel -adique d’échelon ≥ 0

  • Zoghman Mebkhout

    Université Paris 7 Denis Diderot, Paris, France

Abstract

In this article we prove the total symbol theorem for the -adic differential operators of degree for the echelon filtration and the noetherianity of the ring of the -adic differential operators of degree for the echelon filtration over a -adic affine smooth scheme small enough.

Cite this article

Zoghman Mebkhout, Le théorème du symbole total d’un opérateur différentiel -adique d’échelon ≥ 0. Rev. Mat. Iberoam. 27 (2011), no. 1, pp. 39–92

DOI 10.4171/RMI/630