Soyeon Kim

collaborators

3 papers

math.AG2026

Unexpected toric Richardson varieties

Eugene Gorsky, Soyeon Kim, Melissa Sherman-Bennett

We prove that an open Richardson variety in the complete flag variety for $GL_{n}$ is isomorphic to a torus if and only if the corresponding closed Richardson variety is tor…

math.AG2025

Splicing braid varieties

Eugene Gorsky, Soyeon Kim, Tonie Scroggin +1

For a positive braid $I^^{2} \in Br_{k}^{+}$ , we consider the braid variety $X (I^^{2})$ . We define a family of open sets $U_{r, w}$ in $X (I^^{2})$ , where $w \in S_{k}$ is a per…

math.AG2025

Splicing skew shaped positroids

Eugene Gorsky, Soyeon Kim, Tonie Scroggin +1

Skew shaped positroids (or skew shaped positroid varieties) are certain Richardson varieties in the flag variety that admit a realization as explicit subvarieties of the Grassmanni…