3 papers
math.AG2021
Return of the plane evolute
Ragni Piene, Cordian Riener, Boris Shapiro
Below we consider the evolutes of plane real-algebraic curves and discuss some of their complex and real-algebraic properties. In particular, for a given degree , we provid…
math.AG2019
Symmetric ideals, Specht polynomials and solutions to symmetric systems of equations
Philippe Moustrou, Cordian Riener, Hugues Verdure
An ideal of polynomials is symmetric if it is closed under permutations of variables. We relate general symmetric ideals to the so called Specht ideals generated by all Specht poly…
cs.SC2018
Real root finding for equivariant semi-algebraic systems
Cordian Riener, Mohab Safey El Din
Let be a real closed field. We consider basic semi-algebraic sets defined by -variate equations/inequalities of symmetric polynomials and an equivariant family of polyno…