Cohomology of cluster varieties. II. Acyclic case
Algebraic Geometry
2021-11-30 v1 Combinatorics
Abstract
In previous work, we initiated the study of the cohomology of locally acyclic cluster varieties. In the present work, we show that the mixed Hodge structure and point counts of acyclic cluster varieties are essentially determined by the combinatorics of the independent sets of the quiver. We use this to show that the mixed Hodge numbers of acyclic cluster varieties of really full rank satisfy a strong vanishing condition.
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Cite
@article{arxiv.2111.12759,
title = {Cohomology of cluster varieties. II. Acyclic case},
author = {Thomas Lam and David E. Speyer},
journal= {arXiv preprint arXiv:2111.12759},
year = {2021}
}
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33 pages