From the 1 of 4 linked papers with an AI index.
4 papers
A Riemann-Roch theorem for Frobenius quotients
Matthew Dupraz, Andreas Gross, Leonid Monin
The paper builds commutative Frobenius rings from shift and differential operator algebras to model K‑theory and Chow rings of smooth complete varieties, establishing combinatorial…
Minuscule Coxeter Dressians
Andreas Gross, Kevin Kuehn, Dante Luber
In this extended abstract, we study special tropical prevarieties which we call Coxeter Dressians. They arise from equations capturing a generalization of valuated symmetric basis…
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 H…
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…