34 citations · 71 across the 24 of their papers we have counts for
8 papers · 1 filter
Intersections of Schubert varieties and smooth -stable subvarieties of flag varieties
Jaehyun Hong, Eunjeong Lee, Seonjeong Park
A smooth projective variety equipped with a suitable torus action admits a cell decomposition, called the Białynicki-Birula decomposition. The singularities of the closures of thes…
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…
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…
Torus orbit closures in the flag variety
Eunjeong Lee, Mikiya Masuda, Seonjeong Park
The study of torus orbit closures in the (complete) flag variety was initiated by Klyachko and Gelfand--Serganova in the mid-1980s, but it seems that not much has been done since t…
On the enumeration of Fano Bott manifolds
Yunhyung Cho, Eunjeong Lee, Mikiya Masuda +1
Fano Bott manifolds bijectively correspond to signed rooted forests with some equivalence relation. Using this bijective correspondence, we enumerate the isomorphism classes of Fan…
Toric Richardson varieties of Catalan type and Wedderburn-Etherington numbers
Eunjeong Lee, Mikiya Masuda, Seonjeong Park
We associate a complete non-singular fan with a polygon triangulation. Such a fan appears from a certain toric Richardson variety, called of Catalan type introduced in this paper.…
The volume polynomial of regular semisimple Hessenberg varieties and the Gelfand-Zetlin polytope
Megumi Harada, Tatsuya Horiguchi, Mikiya Masuda +1
Regular semisimple Hessenberg varieties are subvarieties of the flag variety arising naturally in the intersection of geometry, representation theory,…