Open Access
2019 Artin–Mazur–Milne duality for fppf cohomology
Cyril Demarche, David Harari
Algebra Number Theory 13(10): 2323-2357 (2019). DOI: 10.2140/ant.2019.13.2323

Abstract

We provide a complete proof of a duality theorem for the fppf cohomology of either a curve over a finite field or a ring of integers of a number field, which extends the classical Artin–Verdier Theorem in étale cohomology. We also prove some finiteness and vanishing statements.

Citation

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Cyril Demarche. David Harari. "Artin–Mazur–Milne duality for fppf cohomology." Algebra Number Theory 13 (10) 2323 - 2357, 2019. https://doi.org/10.2140/ant.2019.13.2323

Information

Received: 1 May 2018; Revised: 3 July 2019; Accepted: 1 August 2019; Published: 2019
First available in Project Euclid: 16 January 2020

zbMATH: 07154431
MathSciNet: MR4047636
Digital Object Identifier: 10.2140/ant.2019.13.2323

Subjects:
Primary: 11G20
Secondary: 14H25

Keywords: arithmetic duality , Artin approximation theorem , fppf cohomology

Rights: Copyright © 2019 Mathematical Sciences Publishers

Vol.13 • No. 10 • 2019
MSP
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