Theory of weights in p-adic cohomology

Abstract

Let k be a finite field of characteristic p>0. We construct a theory of weights for overholonomic complexes of arithmetic D-modules with Frobenius structure on varieties over k. The notion of weight behave like Deligne's one in the l-adic framework: first, the six operations preserve weights, and secondly, the intermediate extension of an immersion preserves pure complexes and weights.

References in corpus (2)

• Semistable reduction for overconvergent F-isocrystals, III: Local semistable reduction at monomial valuations
• The formalism of Grothendieck's six operations in p-adic cohomologies

Cited by in corpus (5)

• A Lefschetz theorem for overconvergent isocrystals with Frobenius structure
• On Beilinson's equivalence for $p$-adic cohomology
• Unipotent monodromy and arithmetic D-modules
• Around the nearby cycle functor for arithmetic $\mathcal{D}$-modules
• Betti number estimates in p-adic cohomology