120 citations · 343 across the 55 of their papers we have counts for
6 papers · 2 filters
Tropical Real Hurwitz numbers
Hannah Markwig, Johannes Rau
In this paper, we define tropical analogues of real Hurwitz numbers, i.e. numbers of covers of surfaces with compatible involutions satisfying prescribed ramification properties. W…
Tropical compactification and the Gromov--Witten theory of
Renzo Cavalieri, Hannah Markwig, Dhruv Ranganathan
We use tropical and nonarchimedean geometry to study the moduli space of genus stable maps to relative to two points. This space is exhibited as a tropical compa…
How to repair tropicalizations of plane curves using modifications
Maria Angelica Cueto, Hannah Markwig
Tropical geometry is sensitive to embeddings of algebraic varieties inside toric varieties. The purpose of this paper is to advertise tropical modifications as a tool to locally re…
The combinatorics of real double Hurwitz numbers with real positive branch points
Mathieu Guay-Paquet, Hannah Markwig, Johannes Rau
We investigate the combinatorics of real double Hurwitz numbers with real positive branch points using the symmetric group. Our main focus is twofold. First, we prove correspondenc…
Moduli spaces of rational weighted stable curves and tropical geometry
Renzo Cavalieri, Simon Hampe, Hannah Markwig +1
We study moduli spaces of rational weighted stable tropical curves, and their connections with the classical Hassett spaces. Given a vector w of weights, the moduli space of tropic…
Tropicalizing the space of admissible covers
Renzo Cavalieri, Hannah Markwig, Dhruv Ranganathan
We study the relationship between tropical and classical Hurwitz moduli spaces. Following recent work of Abramovich, Caporaso and Payne, we outline a tropicalization for the moduli…