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math.AG2026
Functorial Homological Mirror Symmetry for Acyclic Cluster Varieties
Josephine Hlavinka
We introduce the formalism of cluster models, a class of log Calabi-Yau varieties obtained from smooth quasi-affine toric varieties by iterated affine blowups along non-toric codim…
math.AG2026
Chow Vanishing and Motives of Cluster Varieties
Josephine Hlavinka
We prove that the integral Chow groups and mixed Hodge degree cohomology groups of a really full rank (RFR) sink-recurrent cluster variety vanish for $i > 0…
math.AG2026
Fence Complexes and Toric Degenerations of Positroid Varieties
Cameron Chang, Pranav Enugandla, Josephine Hlavinka
We associate to each positroid variety in the Grassmannian a polyhedral complex, which we call a fence complex. Fence complexes consist of unions of faces of the…