21 citations · 57 across the 15 of their papers we have counts for
16 papers
A Riemann-Roch theorem for Frobenius quotients
Matthew Dupraz, Andreas Gross, Leonid Monin
We construct two families of commutative Frobenius rings: discrete and continuous Frobenius quotients , resp. , which are defined as the quotients of shift, resp. differe…
Minuscule Coxeter Dressians
Andreas Gross, Kevin Kuehn, Dante Luber
We study tropical prevarieties associated with minuscule representations of reductive groups. Recently, the defining equations of these prevarieties were used to detect the strong…
The log Grothendieck ring of varieties
Andreas Gross, Leo Herr, David Holmes +2
We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class ``'' over the usual Grothendieck ring. We show the naïve definition of log Ho…
Tropicalization of classes
Renzo Cavalieri, Andreas Gross
Under suitable conditions on a family of logarithmic curves, we endow the tropicalization of the family with an affine structure in a neighborhood of the sections in such a way tha…
Factoring multivariate polynomials over hyperfields and the multivariable Descartes' problem
Andreas Gross, Trevor Gunn
We develop several notions of multiplicity for linear factors of multivariable polynomials over different arithmetics (hyperfields). The key example is multiplicities over the hype…
Principal bundles on metric graphs: the case
Andreas Gross, Martin Ulirsch, Dmitry Zakharov
Using the notion of a root datum of a reductive group we propose a tropical analogue of a principal -bundle on a metric graph. We focus on the case , i.e. t…