15 citations · 16 across the 7 of their papers we have counts for
10 papers · 1 filter
Tropical reductive groups and principal bundles on metric graphs
Andreas Gross, Arne Kuhrs, Martin Ulirsch +1
We propose an elementary tropical analogue of a reductive group that combines the datum of a Weyl group and the tropicalization of a fixed maximal torus. For the classical groups,…
Towards the tropicalization of reductive groups
Desmond Coles, Martin Ulirsch
Let be a connected reductive algebraic group over an algebraically closed field of characteristic zero carrying the trivial valuation. In this article we discuss two candidates…
An Abel-Jacobi theorem for metrized complexes of Riemann surfaces
Maximilian C. E. Hofmann, Martin Ulirsch
Motivated by the recent surge of interest in the geometry of hybrid spaces, we prove an Abel-Jacobi theorem for a metrized complex of Riemann surfaces, generalizing both the classi…
Semi-homogeneous vector bundles on abelian varieties: moduli spaces and their tropicalization
Andreas Gross, Inder Kaur, Martin Ulirsch +1
Let be an abelian variety with totally degenerate reduction over a non-Archimedean field. We describe the moduli space of semihomogeneous vector bundles on from the perspec…
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…