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

Research output: Chapter in Book/Report/Conference proceedingChapter


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
Number of pages12
StatePublished - 2017

Publication series

NameProgress in Mathematics
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X


  • 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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