29 citations · 215 across the 37 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.AG2018★ 2 cited
Spectrahedral representations of plane hyperbolic curves
Mario Kummer, Simone Naldi, Daniel Plaumann
We describe a new method for constructing a spectrahedral representation of the hyperbolicity region of a hyperbolic curve in the real projective plane. As a consequence, we show t…
math.NA2018★ 2 cited
Generalized eigenvalue methods for Gaussian quadrature rules
Grigoriy Blekherman, Mario Kummer, Cordian Riener +2
A quadrature rule of a measure on the real line represents a convex combination of finitely many evaluations at points, called nodes, that agrees with integration against f…
math.AG2018★ 7 cited
Totally real theta characteristics
Mario Kummer
A totally real theta characteristic of a real curve is a theta characteristic which is linearly equivalent to a sum of only real points. These are closely related to the facets of…