Prefer a chat interface with context about you and your work?
Local–global principle for reduced norms over function fields of -adic curves
Let $K$ be a (non-archimedean) local field and let $F$ be the function field of a curve over $K$ . Let $D$ be a central simple algebra over $F$ of period $n$ and $\unicode[STIX]{x1D706}\in F^{\ast }$ . We show that if $n$ is coprime to the characteristic of the residue …