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BETTI NUMBER ESTIMATES IN $p$-ADIC COHOMOLOGY

Part of: (Co)homology theory

Published online by Cambridge University Press:  07 August 2017

Daniel Caro
Daniel Caro*
Affiliation:
Laboratoire de Mathématiques Nicolas Oresme, Université de Caen Campus 2, 14032 Caen Cedex, France (daniel.caro@unicaen.fr)
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Abstract

In the framework of Berthelot’s theory of arithmetic ${\mathcal{D}}$-modules, we prove the $p$-adic analogue of Betti number estimates and we give some standard applications.

Keywords

algebraic geometryp-adic cohomologiesBetti numbersarithmetic 𝓓-modules

MSC classification

Primary: 14F30: $p$-adic cohomology, crystalline cohomology 14F10: Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 18 , Issue 5 , September 2019 , pp. 957 - 991
Copyright
© Cambridge University Press 2017 

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