3 papers
math.AG2026
Approximating parametric suprema for constructible and power-constructible functions
Tijs Buggenhout, Mathias Stout, Lisa Vandebrouck
We prove that one may approximate parametric suprema of constructible and power-constructible functions using functions within the same class. This resolves a conjecture by Adiceam…
math.CO2025
Cactus, Pascal, and Pappus Point-Line Configurations: An Algebraic-Geometric Perspective
Lisa Vandebrouck
We study point-line configurations and their associated matroid and circuit varieties. We aim to find a finite set of defining equations for matroid varieties and an irreducible de…
math.CO2025
Algebraic Geometry of Cactus, Pascal, and Pappus Matroids
Emiliano Liwski, Fatemeh Mohammadi, Lisa Vandebrouck
We study rank-three matroids, known as point-line configurations, and their associated matroid varieties, defined as the Zariski closures of their realization spaces. Our focus is…