109 citations · 289 across the 23 of their papers we have counts for
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3 papers · 1 filter
math.AG2019★ 4 cited
Tautological cycles on tropical Jacobians
Andreas Gross, Farbod Shokrieh
The classical Poincaré formula relates the rational homology classes of tautological cycles on a Jacobian to powers of the class of Riemann theta divisor. We prove a tropical analo…
math.AG2019★ 3 cited
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…
math.AG2019★ 1 cited
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…