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arXiv · 1101.3253

A ganzstellensatz for semi-algebraic sets in real closed valued fields

Yoav Yaffe
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Abstract

Let $(K,ν)$ 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 ganzstellensätze, and need to control semi-sections and their relations to orderings. (joint work with Noa Lavi)

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Yoav Yaffe. 2011-05-17. A ganzstellensatz for semi-algebraic sets in real closed valued fields. https://arxiv.org/abs/1101.3253

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