English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Berthelot's conjecture predicts that under a proper and smooth morphism ofschemes in characteristic $p$, the higher direct images of an overconvergent$F$-isocrystal are overconvergent $F$-isocrystals. In this paper we prove thatthis is true for crystals up to isogeny. As an application we prove a K\"unnethformula for the crystalline fundamental group.

A crystalline incarnation of Berthelot's conjecture and K\"unneth formula for isocrystals