Tropical singular intersection homology
Algebraic Geometry
2026-03-30 v1
Abstract
We introduce tropical singular intersection homologies (non-GM and GM) with the tropical coefficients on rational polyhedral spaces using their filtrations. We investigate their fundamental properties. In the non-GM case, we give a Poincar\'e duality and two bilinear pairings analogous to the cup and cap products under some assumptions. We compute the homologies in some cases.
Cite
@article{arxiv.2603.26021,
title = {Tropical singular intersection homology},
author = {Junta Kamiya},
journal= {arXiv preprint arXiv:2603.26021},
year = {2026}
}
Comments
41 pages