Brauer $p$-dimension of complete discretely valued fields

DOI10.1090/tran/8038zbMath1454.16025arXiv1611.01248OpenAlexW3000254411MaRDI QIDQ4960251

Nivedita Bhaskhar, Bastian Haase

Publication date: 9 April 2020

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

Full work available at URL: https://arxiv.org/abs/1611.01248

zbMATH Keywords

\(p\)-rankBrauer groupcomplete discretely valued fieldBrauer \(p\)-dimensionKato's filtrationMilnor \(k\)-groups

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Brauer groups (algebraic aspects) (16K50)

Related Items (4)

On the Brauer \(p\)-dimension of Henselian discrete valued fields of residual characteristic \(p > 0\) ⋮ Fields of dimension one algebraic over a global or local field need not be of type \(C_1\) ⋮ Henselian discrete valued stable fields ⋮ Asymptotic Brauer 𝑝-dimension

Cites Work

• Period-index and \(u\)-invariant questions for function fields over complete discretely valued fields
• Colliot-Thélène's conjecture and finiteness of u-invariants
• Division algebras over Henselian fields.
• Applications of patching to quadratic forms and central simple algebras
• \(p\)-adic étale cohomology
• Generators of central simple \(p\)-algebras of degree 3
• On the Brauer \(p\)-dimension of Henselian discrete valued fields of residual characteristic \(p > 0\)
• Subfields and automorphism groups of \(p\)-adic fields
• Period and index in the Brauer group of an arithmetic surface
• Questions de rationalité des diviseurs en géométrie algébrique
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