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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…
cs.CC2021
#P-hardness proofs of matrix immanants evaluated on restricted matrices
Istvan Miklos, Cordian Riener
We establish the -hardness of computing a broad class of immanants, even when restricted to specific categories of matrices. Concretely, we prove that computing -immanants…
math.OC2021
Symmetry reduction in AM/GM-based optimization
Philippe Moustrou, Helen Naumann, Cordian Riener +2
The arithmetic mean/geometric mean-inequality (AM/GM-inequality) facilitates classes of non-negativity certificates and of relaxation techniques for polynomials and, more generally…