Positivity in power series rings

Cimprič, Jaka; Marshall, Murray; Kuhlmann, Salma

Positivity in power series rings

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Date

2010

Authors

Cimprič, Jaka

Marshall, Murray

Kuhlmann, Salma

Publication type

Journal article

Published in

Advances in Geometry ; 10 (2010), 1. - ISSN 1615-715X

Abstract

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.

Subject (DDC)

510 Mathematics

Cite This

ISO 690

CIMPRIČ, Jaka, Murray MARSHALL, Salma KUHLMANN, 2010. Positivity in power series rings. In: Advances in Geometry. 10(1). ISSN 1615-715X. Available under: doi: 10.1515/ADVGEOM.2009.036

BibTex

@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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