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

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish (US)
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Pages219-230
Number of pages12
DOIs
StatePublished - 2017

Publication series

NameProgress in Mathematics
Volume320
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

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  • Cite this

    Pirutka, A. (2017). On a local-global principle for H3of function fields of surfaces over a finite field. In Progress in Mathematics (pp. 219-230). (Progress in Mathematics; Vol. 320). Springer Basel. https://doi.org/10.1007/978-3-319-46852-5_10