Tropical singular intersection homology

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Bibliographic Details
Main Author:	Kamiya, Junta
Format:	Preprint
Published:	2026
Subjects:	Algebraic Geometry
Online Access:	Acceder al recurso
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_version_	1866914426358071296
author	Kamiya, Junta
author_facet	Kamiya, Junta
contents	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 Poincaré duality and two bilinear pairings analogous to the cup and cap products under some assumptions. We compute the homologies in some cases.
format	Preprint
id	arxiv_https___arxiv_org_abs_2603_26021
institution	arXiv
publishDate	2026
record_format	arxiv
spellingShingle	Tropical singular intersection homology Kamiya, Junta Algebraic Geometry 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 Poincaré duality and two bilinear pairings analogous to the cup and cap products under some assumptions. We compute the homologies in some cases.
title	Tropical singular intersection homology
topic	Algebraic Geometry
url	https://arxiv.org/abs/2603.26021

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