@article{0ec0f442a7ad46b98b750d84e6139632,
title = "Local–global principles for curves over semi-global fields",
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 = "11E72, 11G20, 12G05, 14G27 (secondary), 14H25, 20G15 (primary)",
author = "David Harbater and Daniel Krashen and Alena Pirutka",
note = "Funding Information: The first author was partially supported by NSF collaborative FRG grant DMS‐1463733 and NSF grant DMS‐1805439. The second author was partially supported by NSF RTG grant DMS‐1344994, NSF collaborative FRG grant DMS‐1463901 and NSF grant DMS‐1902144. The third author was partially supported by NSF grant DMS‐1601680, by ANR grant ANR‐15‐CE40‐0002‐01 and by the Laboratory of Mirror Symmetry NRU HSE, RF Government grant, ag. no. 14.641.31.0001. Publisher Copyright: {\textcopyright} 2020 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.",
year = "2021",
month = feb,
doi = "10.1112/blms.12409",
language = "English (US)",
volume = "53",
pages = "177--193",
journal = "Bulletin of the London Mathematical Society",
issn = "0024-6093",
publisher = "Oxford University Press",
number = "1",
}