Lefschetz theorems in flat cohomology and applications
Algebraic Geometry
2024-11-20 v3
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.
Keywords
Cite
@article{arxiv.2204.06121,
title = {Lefschetz theorems in flat cohomology and applications},
author = {Sean Cotner and Bogdan Zavyalov},
journal= {arXiv preprint arXiv:2204.06121},
year = {2024}
}
Comments
19 pages, major revision. The former second half of the paper will appear elsewhere