Josephine Hlavinka

collaborators

4 papers

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 $C H_{i}$ and mixed Hodge degree $H^{2 i, (i, i)}$ 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 $Gr (k, n)$ a polyhedral complex, which we call a fence complex. Fence complexes consist of unions of faces of the…

math.CO2021

Automorphisms of tropical Hassett spaces

Sam Freedman, Joseph Hlavinka, Josephine Hlavinka +1

Given an integer $g \geq 0$ and a weight vector $w \in Q^{n} \cap (0, 1]^{n}$ satisfying $2 g - 2 + \sum w_{i} > 0$ , let $Δ_{g, w}$ denote the moduli space of $n$ -marked, $w$ -sta…