82 citations · 169 across the 34 of their papers we have counts for
Showing 2025Show all
3 papers · 1 filter
math.AG2025
Quadrature rules with few nodes supported on algebraic curves
Cordian Riener, Ettore Teixeira Turatti
We investigate quadrature rules for measures supported on real algebraic and rational curves, focusing on the {odd-degree} case \(2s-1\). Adopting an optimization viewpoint, we min…
math.AG2025
Symbolic Computation with Symmetric Polynomials in Real Algebraic Geometry
Cordian Riener, Thi Xuan Vu
Symmetry plays a central role in accelerating symbolic computation involving polynomials. This chapter surveys recent developments and foundational methods that leverage the inhere…
cs.SC2025
Deciding Connectivity in Symmetric Semi-Algebraic Sets
Cordian. Riener, Robin Schabert, Thi Xuan Vu
A semi-algebraic set is a subset of defined by a finite collection of polynomial equations and inequalities. In this paper, we investigate the problem of determining…