Galois cohomology of function fields of curves over non-archimedean local fields

DOI10.1090/proc/16074OpenAlexW3160977259MaRDI QIDQ5039242

Saurabh Gosavi

Publication date: 12 October 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.08172

zbMATH Keywords

Galois cohomologylocal-global principle\(p\)-adic function fieldsfield patching

Mathematics Subject Classification ID

Galois cohomology (11S25) Galois cohomology (12G05) Galois cohomology of linear algebraic groups (11E72)

Cites Work

• The \(u\)-invariant of the function fields of \(p\)-adic curves
• A note on Gersten's conjecture for étale cohomology over two-dimensional Henselian regular local rings
• An exact sequence for \(K^M_*/2\) with applications to quadratic forms
• Patching over fields
• Applications of patching to quadratic forms and central simple algebras
• \(R\)-equivalence and rationality problem for semisimple adjoint classical algebraic groups
• On the Rost divisibility of henselian discrete valuation fields of cohomological dimension 3
• Local-global principles for Galois cohomology
• Field Patching, Factorization, and Local–Global Principles
• Local-global principles for torsors over arithmetic curves
• Degree 3 Cohomology of Function Fields of Surfaces
• Local–global principle for reduced norms over function fields of -adic curves
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