Lefschetz theorems in flat cohomology and applications

Cotner,  Sean; Zavyalov, Bogdan

doi:10.1112/S0010437X24007231

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Lefschetz theorems in flat cohomology and applications

MPS-Authors

/persons/resource/persons276866

Zavyalov, Bogdan
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.48550/arXiv.2204.06121
(Preprint)

https://doi.org/10.1112/S0010437X24007231
(Publisher version)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

Cotner-Zavyalov_Lefschetz theorems in flat cohomology and applications_2024.pdf
(Publisher version), 965KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Cotner, S., & Zavyalov, B. (2024). Lefschetz theorems in flat cohomology and applications. Compositio Mathematica, 160(8), 1850-1870. doi:10.1112/S0010437X24007231.

Cite as: https://hdl.handle.net/21.11116/0000-000F-C44E-D

Abstract

We prove a version of the Lefschetz hyperplane theorem for fppf cohomology with coefficients in any finite commutative group scheme over the ground field. As consequences, we establish new Lefschetz results for the Picard scheme.