3 papers
math.AG2020
Rational functions with only real periodic points
Khazhgali Kozhasov, Mario Kummer
We study self-morphisms of smooth real projective algebraic curves that have only real periodic points. In the case of the projective line we provide a convenient characterization…
math.AG2018
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.AG2018
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…