15 citations · 16 across the 4 of their papers we have counts for
6 papers
Tropicalization of toric prevarieties
Alex Küronya, Pedro Souza, Martin Ulirsch
The homogeneous spectrum of a multigraded finitely generated algebra (in the sense of Brenner-Schröer) always admits an embedding into a toric variety that is not necessarily separ…
A non-Archimedean analogue of Teichmüller space and its tropicalization
Martin Ulirsch
In this article we use techniques from tropical and logarithmic geometry to construct a non-Archimedean analogue of Teichmüller space whose points are pa…
Tropical double ramification loci
Martin Ulirsch, Dmitry Zakharov
Motivated by the realizability problem for principal tropical divisors with a fixed ramification profile, we explore the tropical geometry of the double ramification locus in $\mat…
Divisorial motivic zeta functions for marked stable curves
Madeline Brandt, Martin Ulirsch
We define a divisorial motivic zeta function for stable curves with marked points which agrees with Kapranov's motivic zeta function when the curve is smooth and unmarked. We show…
Realizability of tropical canonical divisors
Martin Moeller, Martin Ulirsch, Annette Werner
We use recent results by Bainbridge-Chen-Gendron-Grushevsky-Moeller on compactifications of strata of abelian differentials to give a comprehensive solution to the realizability pr…
Skeletons and fans of logarithmic structures
Dan Abramovich, Qile Chen, Steffen Marcus +2
We survey a collection of closely related methods for generalizing fans of toric varieties, include skeletons, Kato fans, Artin fans, and polyhedral cone complexes, all of which ap…