4 citations · 8 across the 14 of their papers we have counts for
22 papers
Permutation module decomposition of the cohomology of Hessenberg varieties associated with lollipop graphs
Soojin Cho, Seonjeong Park
We study the cohomology of regular semisimple Hessenberg varieties associated with lollipop graphs as a module under the dot action. Using the natural basis introduced by Cho, Hong…
Intersections of Schubert varieties and smooth -stable subvarieties of flag varieties
Jaehyun Hong, Eunjeong Lee, Seonjeong Park
A smooth projective variety with an action of a torus admits a cell decomposition, called the Bialynicki-Birula decomposition. Singularities of the closures of these cells are not…
Toric Schubert varieties and directed Dynkin diagrams
Eunjeong Lee, Mikiya Masuda, Seonjeong Park
A flag variety is a homogenous variety where is a simple algebraic group over the complex numbers and is a Boel subgroup of . A Schubert variety is a subvari…
-cohomological rigidity for smooth toric Fano varieties of Picard number two
Yunhyung Cho, Eunjeong Lee, Mikiya Masuda +1
The -cohomological rigidity conjecture states that two smooth toric Fano varieties are isomorphic as varieties if there is a -preserving isomorphism between their integra…
Towards combinatorial characterization of the smoothness of Hessenberg Schubert varieties
Soojin Cho, JiSun Huh, Seonjeong Park
A \emph{Hessenberg Schubert variety} is an irreducible component of the intersection of a Schubert variety and a Hessenberg variety, defined as the closure of a Schubert cell inter…
Toric varieties of Schröder type
JiSun Huh, Seonjeong Park
A dissection of a polygon is obtained by drawing diagonals such that no two diagonals intersect in their interiors. In this paper, we define a toric variety of Schröder type as a s…