On central orderings
Algebraic Geometry
2023-07-11 v1
Abstract
We define the notion of central orderings for a general commutative ring which generalizes the notion of central points of irreducible real algebraic varieties. We study a central and a precentral loci which both live in the real spectrum of the ring and allow to state central Positivestellens\"atze in the spirit of Hilbert 17th problem.
Cite
@article{arxiv.2307.04430,
title = {On central orderings},
author = {Goulwen Fichou and Jean-Philippe Monnier and Ronan Quarez},
journal= {arXiv preprint arXiv:2307.04430},
year = {2023}
}