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arXiv · 2508.13752

Mixed Hodge Structures of cluster varieties of dimension 3

Yuhang Zhang·Zili Zhang
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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.

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Yuhang Zhang, Zili Zhang. 2025-08-19. Mixed Hodge Structures of cluster varieties of dimension 3. https://arxiv.org/abs/2508.13752

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