Positivity in power series rings-Reference-Cited by-同舟云学术

Positivity in power series rings

Published:2009-09-10 Issue:1 Volume:10 Page:135-143
ISSN:1615-7168
Container-title:advg
language:en
Short-container-title:

Author:

Cimprič Jaka¹,Kuhlmann Salma²,Marshall Murray²

Affiliation:

1. Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 21, SI-1000 Ljubljana, Slovenija. Email:

2. Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, SK S7N 5E6, Canada. Email:

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/advgeom.2009.036/pdf

Reference9 articles.

1. Sums of squares and moment problems in equivariant situations

2. Positive semidefinite germs in real analytic surfaces

3. Positivity, sums of squares and the multi-dimensional moment problem

4. Positivity, sums of squares and the multi-dimensional moment problem II

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Positivity on Semialgebraic Sets;Certificates of Positivity for Real Polynomials;2021

2. Cyclic 2-structures and spaces of orderings of power series fields in two variables;Journal of Algebra;2011-06