2 citations · 4 across the 3 of their papers we have counts for
9 papers
Jumps in the height of the Ceresa cycle
Robin de Jong, Farbod Shokrieh
We study the jumps in the archimedean height of the Ceresa cycle, as introduced by R. Hain in his work on normal functions on moduli spaces of curves, and as further analyzed by P.…
Torsor Structures on Spanning Trees
Farbod Shokrieh, Cameron Wright
We study two actions of the (degree 0) Picard group on the set of the spanning trees of a finite ribbon graph. It is known that these two actions, denoted and respectiv…
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…
Tropical moments of tropical Jacobians
Robin de Jong, Farbod Shokrieh
Each metric graph has canonically associated to it a polarized real torus called its tropical Jacobian. A fundamental real-valued invariant associated to each polarized real torus…
Metric graphs, cross ratios, and Rayleigh's laws
Robin de Jong, Farbod Shokrieh
We study a notion of cross ratios on metric graphs and electrical networks. We show that several known results immediately follow from the basic properties of cross ratios. We show…