Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-25T04:37:42.170Z Has data issue: false hasContentIssue false
  • English
  • Français

Fonctions L associées aux $\mathcal{D}$-modules arithmétiques. Cas des courbes

Published online by Cambridge University Press:  13 January 2006

Daniel Caro
Daniel Caro
Affiliation:
NWF I - Mathematik, Universität Regensburg, Universitätsstraße 31, 93053 Regensburg, [email protected] Department of Mathematical Sciences, South Road, Durham DH1 3LE, UK
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We prove that holonomic arithmetical ${\mathcal{D}}$-modules over curves have finite fibers. We also define L-functions associated with arithmetical ${\mathcal{D}}$-modules and, when the scheme is a curve, we show a cohomological formula. Furthermore, we prove that F-isocrystals over curves are holonomic.

Keywords

L-functionarithmetical ${\mathcal{D}}$-modulesisocrystalFrobeniusholonomicity14F1014F3014F4013D0713D2513N1032C38
Type
Research Article
Information
Compositio Mathematica , Volume 142 , Issue 1 , January 2006 , pp. 169 - 206
Copyright
Foundation Compositio Mathematica 2006