Publikation: Positivity in power series rings
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2010
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Advances in Geometry. 2010, 10(1). ISSN 1615-715X. Available under: doi: 10.1515/ADVGEOM.2009.036
Zusammenfassung
We extend and generalize results of Scheiderer (2006) on the representation of polynomials nonnegative on two-dimensional basic closed semialgebraic sets. Our extension covers some situations where the defining polynomials do not satisfy the transversality condition. Such situations arise naturally when one considers semialgebraic sets invariant under finite group actions.
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510 Mathematik
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CIMPRIČ, Jaka, Murray MARSHALL, Salma KUHLMANN, 2010. Positivity in power series rings. In: Advances in Geometry. 2010, 10(1). ISSN 1615-715X. Available under: doi: 10.1515/ADVGEOM.2009.036BibTex
@article{Cimpric2010Posit-12752,
year={2010},
doi={10.1515/ADVGEOM.2009.036},
title={Positivity in power series rings},
number={1},
volume={10},
issn={1615-715X},
journal={Advances in Geometry},
author={Cimprič, Jaka and Marshall, Murray and Kuhlmann, Salma}
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<dcterms:abstract xml:lang="eng">We extend and generalize results of Scheiderer (2006) on the representation of polynomials nonnegative on two-dimensional basic closed semialgebraic sets. Our extension covers some situations where the defining polynomials do not satisfy the transversality condition. Such situations arise naturally when one considers semialgebraic sets invariant under finite group actions.</dcterms:abstract>
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