R. Parimala, R. Preeti, and V. Suresh: Local-global principle for reduced norms over function fields of p-adic curves


Submission: 2016, May 23

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.

2010 Mathematics Subject Classification: 11E72, 14H25, 20G, 11F75

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