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

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

2011-01-17

arxiv.org/abs/1101.3253v3

Mathematics

Logic

This paper has been withdrawn by the author following a request by Noa Lavi

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. (joint work with Noa Lavi)

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