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Pré-Publication, Document De Travail Année : 2013

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

Résumé

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.

Dates et versions

hal-00871216 , version 1 (09-10-2013)

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Citer

Jérôme Poineau, Andrea Pulita. The convergence Newton polygon of a $p$-adic differential equation IV : local and global index theorems. 2013. ⟨hal-00871216⟩
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