Lefschetz theorems in flat cohomology and applications

Fuente: arXiv
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Autori principali: Cotner, Sean, Zavyalov, Bogdan
Natura: Preprint
Pubblicazione: 2022
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author Cotner, Sean
Zavyalov, Bogdan
author_facet Cotner, Sean
Zavyalov, Bogdan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2204_06121
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Lefschetz theorems in flat cohomology and applications
Cotner, Sean
Zavyalov, Bogdan
Algebraic Geometry
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.
title Lefschetz theorems in flat cohomology and applications
topic Algebraic Geometry
url https://arxiv.org/abs/2204.06121