Sums of squares on real algebraic curves

By Claus Scheiderer. 2003

110 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/6c06d73af35492041c13d19ce42e011700c6792b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Martyn Marshall
2. Claus Scheiderer
3. Jiawang Nie
4. Monique Laurent
5. K. Schmuedgen
6. Salma Kuhlmann

In Geometry and Topology

1. Martyn Marshall
2. Claus Scheiderer
3. Jiawang Nie
4. K. Schmuedgen

Citations in the corpus

• Sums of squares on real algebraic surfaces (2006, methodology): “On the other hand, there exist both easy and subtle examples of one-dimensional (compact or non-compact) sets K, together with suitable systems of inequalities gi describing K, where Schm¨ udgen’s theorem extends to all polynomials which are non-negative on K. A detailed study of this one-dimensiona”
• Representations of Non-Negative Polynomials, Degree Bounds and Applications to Optimization (2009, background): “By the Transfer Principle, there exists p 2 Z(I) such that p 2 K and g(p) 6= 0. This proves the claim. Also see Remark 3.12 in [ 17 ].”