Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties
Algebraic Geometry
2025-05-08 v1 Algebraic Topology
Abstract
In this paper, we present the calculations of cellular -homology for smooth toric varieties, along with an explicit description of pure shellable cases. Consequently, we derive the (Milnor-Witt) motivic decomposition for these pure shellable cases. Furthermore, we obtain an additive basis for the Chow groups of general smooth toric varieties.
Keywords
Cite
@article{arxiv.2505.04520,
title = {Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties},
author = {Haoyang Liu and Keyao Peng},
journal= {arXiv preprint arXiv:2505.04520},
year = {2025}
}