A Lefschetz theorem for overconvergent isocrystals with Frobenius structure

Abstract

We show a Lefschetz theorem for irreducible overconvergent $F$-isocrystals on smooth varieties defined over a finite field. We derive several consequences from it.

References in corpus (3)

• Semistable reduction for overconvergent F-isocrystals, III: Local semistable reduction at monomial valuations
• Theory of weights in p-adic cohomology
• Langlands correspondence for isocrystals and the existence of crystalline companions for curves

Cited by in corpus (2)

• Rank 2 Local Systems, Barsotti-Tate Groups, and Shimura Curves
• Log-decay $F$-isocrystals on higher dimensional varieties