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arXiv · 1605.04728

Local-global principle for reduced norms over function fields of p-adic curves

R. Parimala·R. Preeti·V. Suresh
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Abstract

Let F be a function field in one variable over a p-adic field and D a central division algebra over F of degree n coprime to p. We prove that Suslin invariant detects whether an element in F is a reduced norm. This leads to a local-global principle for reduced norms with respect to all discrete valuations of F.

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R. Parimala, R. Preeti, V. Suresh. 2016-05-16. Local-global principle for reduced norms over function fields of p-adic curves. https://doi.org/10.1112/s0010437x17007618

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