29 citations · 215 across the 37 of their papers we have counts for
4 papers · 1 filter
Schottky Algorithms: Classical meets Tropical
Lynn Chua, Mario Kummer, Bernd Sturmfels
We present a new perspective on the Schottky problem that links numerical computing with tropical geometry. The task is to decide whether a symmetric matrix defines a Jacobian, and…
The separating semigroup of a real curve
Mario Kummer, Kristin Shaw
We introduce the separating semigroup of a real algebraic curve of dividing type. The elements of this semigroup record the possible degrees of the covering maps obtained by restri…
On the connectivity of the hyperbolicity region of irreducible polynomials
Mario Kummer
We give an elementary proof for the fact that an irreducible hyperbolic polynomial has only one pair of hyperbolicity cones.
Sixty-Four Curves of Degree Six
Nidhi Kaihnsa, Mario Kummer, Daniel Plaumann +2
We present a computational study of smooth curves of degree six in the real projective plane. In the Rokhlin-Nikulin classification, there are 56 topological types, refined into 64…