Cycles, cocycles, and duality on tropical manifolds
Algebraic Geometry
2021-04-07 v2
Abstract
We prove a Poincar\'e 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 Poincar\'e dual to each other. This allows us to define pull-backs of tropical cycles along arbitrary morphisms with smooth target.
Keywords
Cite
@article{arxiv.1910.04805,
title = {Cycles, cocycles, and duality on tropical manifolds},
author = {Andreas Gross and Farbod Shokrieh},
journal= {arXiv preprint arXiv:1910.04805},
year = {2021}
}
Comments
Final version. To appear in the Proceedings of the AMS