5 papers
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…
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,…
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…
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…