1 citations · 2 across the 2 of their papers we have counts for
4 papers
Cycles, cocycles, and duality on tropical manifolds
Andreas Gross, Farbod Shokrieh
We prove a Poincaré duality for the Chow rings of smooth fans whose support are tropical linear spaces. As a consequence, we show that cycles and cocycles on tropical manifolds are…
A sheaf-theoretic approach to tropical homology
Andreas Gross, Farbod Shokrieh
We introduce a sheaf-theoretic approach to tropical homology, especially for tropical homology with potentially non-compact supports. Our setup is suited to study the functorial pr…
Effective divisor classes on metric graphs
Andreas Gross, Farbod Shokrieh, Lilla Tóthmérész
We introduce the notion of semibreak divisors on metric graphs (tropical curves) and prove that every effective divisor class (of degree at most the genus) has a semibreak divisor…
Refined Tropicalizations for Schön Subvarieties of Tori
Andreas Gross
We introduce a relative refined -genus for schön subvarieties of algebraic tori. These are rational functions of degree minus the codimension with coefficients in the ring of…