A Ganzstellensatz for open semi-algebraic sets in real closed valued fields

Details A Ganzstellensatz for open semi-algebraic sets in real closed valued fields A Ganzstellensatz for open semi-algebraic sets in real closed valued fields

2011-01-11

arxiv.org/abs/1101.2116v4

Mathematics

Algebraic Geometry

Scientific paper

Let $(K,\nu)$ be a real closed valued field, and let $S\subseteq K^n$ be a
definable open semi-algebraic set. We find an algebraic characterization of
rational functions which are OVF-integral on $S$. We apply the existing model
theoretic framework for proving Ganzstellens\"atze, and need to control
semi-sections and their relations to orderings.

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