Robin Schabert

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math.AG2026

Any-dimensional PositivstellensÃ¤tze for symmetric functions

Sebastian Debus, Robin Schabert

PositivstellensÃ¤tze provide certificates of positivity for polynomials. Extending these certificates to symmetric functions, uniformly across all dimensions, presents structural c…

math.AG2025

Slices of Stable Polynomials and Connections to the Grace-Walsh-SzegÅ theorem

Sebastian Debus, Cordian Riener, Robin Schabert

Univariate polynomials are called stable with respect to a domain $D$ if all of their roots lie in $D$ . We study linear slices of the space of stable univariate polynomials with re…

math.AG2024

Constructively describing orbit spaces of finite groups by few inequalities

Philippe Moustrou, Cordian Riener, Robin Schabert

Let $G$ be a finite group acting linearly on $R^{n}$ . A celebrated Theorem of Procesi and Schwarz gives an explicit description of the orbit space $R^{n} / / G$ as a…

Any-dimensional PositivstellensÃ¤tze for symmetric functions

Slices of Stable Polynomials and Connections to the Grace-Walsh-SzegÅ theorem

Constructively describing orbit spaces of finite groups by few inequalities

Slices of Stable Polynomials and Connections to the Grace-Walsh-SzegÅ theorem