Overholonomicity of overconvergent $F$-isocrystals over smooth varieties

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We prove the overholonomicity of overconvergent $F$-isocrystals over smooth varieties. This implies that the notions of overholonomicity and devissability in overconvergent $F$-isocrystals are equivalent. Then the overholonomicity is stable under tensor products. So, the overholonomicity gives a $p$-adic cohomology stable under Grothendieck's cohomological operations.
41 pages

Keywords

Algebraic Geometry, 14F30

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/156897

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.2105
 http://arxiv.org/abs/0803.2105

Collections

arXiv