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20222026
most citedLinear slices of hyperbolic polynomials and positivity of symmetric polynomial functions

2 citations · 2 across the 6 of their papers we have counts for

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4 papers · 1 filter

math.AG2024

Constructively describing orbit spaces of finite groups by few inequalities

Philippe Moustrou, Cordian Riener, Robin Schabert

Let be a finite group acting linearly on . A celebrated Theorem of Procesi and Schwarz gives an explicit description of the orbit space as a…

cs.SC2024

Connectivity in Symmetric Semi-Algebraic Sets

Cordian Riener, Robin Schabert, Thi Xuan Vu

Semi-algebraic set is a subset of the real space defined by polynomial equations and inequalities. In this paper, we consider the problem of deciding whether two given points in a…

math.AG2024

Shellable slices of hyperbolic polynomials and the degree principle

Arne Lien, Robin Schabert

We study a natural stratification of certain affine slices of univariate hyperbolic polynomials. We look into which posets of strata can be realized and show that the dual of the p…

math.AG2024

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

Sebastian Debus, Cordian Riener, Robin Schabert

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