Article
Le théorème du symbole total d’un opérateur différentiel p-adique
Author/s | Mebkhout, Zoghman
Narváez Macarro, Luis |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2010 |
Deposit Date | 2016-05-13 |
Published in |
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Abstract | Let X † be a smooth †-scheme (in the sense of Meredith) over a
complete discrete valuation ring (V,m) of unequal characteristics (0, p)
and let D†X†/V be the sheaf of V -linear endomorphisms of OX† whose
reduction modulo ... Let X † be a smooth †-scheme (in the sense of Meredith) over a complete discrete valuation ring (V,m) of unequal characteristics (0, p) and let D†X†/V be the sheaf of V -linear endomorphisms of OX† whose reduction modulo ms is a linear differential operator of order bounded by an affine function in s. In this paper we prove that locally there is an OX† -isomorphism between the sections of D†X†/V and the overconvergent total symbols, and we deduce a cohomological triviality property. |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) |
Project ID. | MTM2007-66929 |
Citation | Mebkhout, Z. y Narváez Macarro, L. (2010). Le théorème du symbole total d’un opérateur différentiel p-adique. Revista Matemática Iberoamericana, 26 (3), 825-859. |
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