The convergence Newton polygon of a $p$-adic differential equation IV : local and global index theorems

Jérôme Poineau; Andrea Pulita

Working paper

The convergence Newton polygon of a $p$-adic differential equation IV : local and global index theorems

Jérôme Poineau and Andrea Pulita

Abstract

We deal with locally free O_X-modules F with connection over a Berkovich curve $X$. As a main result we prove local and global criteria proving the finite dimensionality of the de Rham cohomology of F. Together with a global index formula.

Files and links (1)

url

Find in HALView

Metrics

1 Record Views

Details

Title: The convergence Newton polygon of a $p$-adic differential equation IV : local and global index theorems
Creators - without role: Jérôme Poineau - Institut de Recherche Mathématique Avancée
Andrea Pulita - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
Identifiers: 9933767209311
Academic Unit: Institut Montpelliérain Alexander Grothendieck - IMAG
Language: English
Resource Type: Working paper
Local Fields: hal-00871216