English

Local-global principles for curves over semi-global fields

Algebraic Geometry 2020-09-30 v2 Number Theory

Abstract

We investigate local-global principles for Galois cohomology, in the context of function fields of curves over semi-global fields. This extends work of Kato's on the case of function fields of curves over global fields.

Keywords

Cite

@article{arxiv.2001.05429,
  title  = {Local-global principles for curves over semi-global fields},
  author = {David Harbater and Daniel Krashen and Alena Pirutka},
  journal= {arXiv preprint arXiv:2001.05429},
  year   = {2020}
}

Comments

19 pages, to appear in the Bulletin of the London Mathematical Society

R2 v1 2026-06-23T13:12:09.985Z