Betti number estimates in p-adic cohomology

Abstract

Within the framework of Berthelot's theory of arithmetic D-modules, we prove the p-adic analogue of Betti number estimates and we give some standard applications.

22 pages

References in corpus (4)

• Semistable reduction for overconvergent F-isocrystals, III: Local semistable reduction at monomial valuations
• Theory of weights in p-adic cohomology
• Overconvergent F-isocrystals and differential overcoherence
• On Beilinson's equivalence for $p$-adic cohomology