5 papers
Logarithmic concavity of bimatroids
Felix Röhrle, Martin Ulirsch
A bimatroid is a matroid-like generalization of the collection of regular minors of a matrix. In this article, we use the theory of Lorentzian polynomials to study the logarithmic…
Tropical Donagi theorem
Felix Röhrle, Felix Röhrle, Thomas Saillez
The tropical -gonal construction was introduced in recent work by the first author and D.~Zakharov and structural results for were established. In this article we expl…
On the topology of the moduli of tropical unramified p-covers
Yassine El Maazouz, Paul Alexander Helminck, Felix Röhrle +2
We study the topology of the moduli space of unramified -covers of tropical curves of genus , where is a prime number. We use recent techniques by Chan-…
Realizability of tropical pluri-canonical divisors
Felix Röhrle, Johannes Schwab
Consider a pair consisting of an abstract tropical curve and an effective divisor from the linear system associated to times the canonical divisor for $k \in \mathbb{Z}_{\geq 1…
Arithmetic Counts of Tropical Plane Curves and Their Properties
Andrés Jaramillo Puentes, Hannah Markwig, Sabrina Pauli +1
Recently, the first and third author proved a correspondence theorem which recovers the Levine-Welschinger invariants of toric del Pezzo surfaces as a count of tropical curves weig…