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Tropical cohomology for band schemes over the tropical hyperfield
Abstract
We define tropical band varieties as T-reductions of separated finitely presented T-band schemes. We construct a faithful functor from the category of tropical band varieties to the category of extended polyhedral spaces in the sense of Gross--Shokrieh. As a byproduct, we show that tropical cohomology can be defined functorially on tropical band varieties.
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BibTeX
@misc{lee2026tropical,
title = {{Tropical cohomology for band schemes over the tropical hyperfield}},
author = {Seungkyu Lee},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.32016},
eprint = {2610.32016},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.32016},
}
RIS
TY - UNPB
TI - Tropical cohomology for band schemes over the tropical hyperfield
AU - Seungkyu Lee
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2610.32016
UR - https://arxiv.org/abs/2610.32016
AB - We define tropical band varieties as T-reductions of separated finitely presented T-band schemes. We construct a faithful functor from the category of tropical band varieties to the category of extended polyhedral spaces in the sense of Gross--Shokrieh. As a byproduct, we show that tropical cohomology can be defined functorially on tropical band varieties.
ER -