4 papers
The Signed Goldman-Iwahori Space and Real Tropical Linear Spaces
Kevin Kuehn, Arne Kuhrs
For a real closed field with a non-Archimedean absolute value, we introduce the signed Goldman--Iwahori space, the space of homothety classes of signed seminorms on a finite-di…
On Bands and Limit Theorems in Tropical Geometry
Arne Kuhrs, Alejandro MartÃnez Méndez, Pedro Souza
We review the basic theory of bands and band schemes introduced by Baker-Jin-Lorscheid, which is an algebraic framework for tropicalization, analytification, and -geo…
Scheme theory for commutative semirings
Roberto Gualdi, Arne Kuhrs, Mayo Mayo Garcia +1
In this survey, we describe two different approaches to constructing affine schemes for commutative semirings: one based on prime ideals, and another based on prime kernels (also c…
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,…