On the Hasse Principle for the Brauer group of a purely transcendental extension field in one variable over an arbitrary field

zbMath1259.12004arXiv1201.2289MaRDI QIDQ2903469

Makoto Sakagaito

Publication date: 10 August 2012

Full work available at URL: https://arxiv.org/abs/1201.2289

zbMATH Keywords

Galois cohomologyAzumaya algebrasHasse principleBrauer groupetale cohomology

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Galois cohomology (12G05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Brauer groups (algebraic aspects) (16K50) Galois cohomology (11R34)

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