On a local-global principle for H3of function fields of surfaces over a finite field

Alena Pirutka

doi:10.1007/978-3-319-46852-5_10

On a local-global principle for H³of function fields of surfaces over a finite field

Alena Pirutka

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

Let K be the function field of a smooth projective surface S over a finite field F. In this article, following the work of Parimala and Suresh, we establish a local-global principle for the divisibility of elements in H³(K, ℤ/ℓ) by elements in H²(K, ℤ/ℓ),l≠car.K.

Original language	English (US)
Title of host publication	Progress in Mathematics
Publisher	Springer Basel
Pages	219-230
Number of pages	12
DOIs	https://doi.org/10.1007/978-3-319-46852-5_10
State	Published - 2017

Publication series

Name	Progress in Mathematics
Volume	320
ISSN (Print)	0743-1643
ISSN (Electronic)	2296-505X

Keywords

Galois cohomology
Local global principles
Ramification
Surfaces over finite fields
Unramified cohomology

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

Access to Document

10.1007/978-3-319-46852-5_10

Cite this

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KW - Unramified cohomology

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