2 papers
math.AG2026
The Geometry of Polycons and a Counterexample to Wachspress' Conjecture
Clemens Brüser
Polycons, initially introduced by Wachspress in 1975 as a tool in finite element methods, are generalizations of polygons in that they allow conic boundary components. We are inter…
math.AG2024
(Positive) Quadratic Determinantal Representations of Quartic Curves and the Robinson Polynomial
Clemens Brüser, Mario Kummer
We prove that every real nonnegative ternary quartic whose complex zero set is smooth can be represented as the determinant of a symmetric matrix with quadratic entries which is ev…