Overholonomicity of overconvergent \(F\)-isocrystals over smooth varieties

DOI10.4007/ANNALS.2012.176.2.2zbMATH Open1276.14031arXiv0803.2105OpenAlexW2172212672MaRDI QIDQ456663

Author name not available (Why is that?)

Publication date: 16 October 2012

Published in: (Search for Journal in Brave)

Abstract: We prove the overholonomicity of overconvergent $F$-isocrystals over smooth varieties. This implies that the notions of overholonomicity and devissability in overconvergent $F$-isocrystals are equivalent. Then the overholonomicity is stable under tensor products. So, the overholonomicity gives a $p$-adic cohomology stable under Grothendieck's cohomological operations.

Full work available at URL: https://arxiv.org/abs/0803.2105

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: Overholonomicity of overconvergent \(F\)-isocrystals over smooth varieties

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q456663)