Mixed Hodge Structures of cluster varieties of dimension 3
Algebraic Geometry
2025-08-20 v1
Abstract
We calculate the mixed Hodge numbers of smooth 3-dimensional cluster varieties and show that they are of mixed Tate type. We also study the mixed Hodge structures of the cohomology and intersection cohomology groups of some singular cluster varieties.
Cite
@article{arxiv.2508.13752,
title = {Mixed Hodge Structures of cluster varieties of dimension 3},
author = {Yuhang Zhang and Zili Zhang},
journal= {arXiv preprint arXiv:2508.13752},
year = {2025}
}
Comments
25 pages. Comments are welcome!