@inbook{cf9fc51bb1974785b62d04f4df2f2ca3,

title = "On a local-global principle for H3of function fields of surfaces over a finite field",

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.",

keywords = "Galois cohomology, Local global principles, Ramification, Surfaces over finite fields, Unramified cohomology",

author = "Alena Pirutka",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG 2017.",

year = "2017",

doi = "10.1007/978-3-319-46852-5_10",

language = "English (US)",

series = "Progress in Mathematics",

publisher = "Springer Basel",

pages = "219--230",

booktitle = "Progress in Mathematics",

}