3 citations · 3 across the 5 of their papers we have counts for
10 papers
Toric surfaces with symmetries by reflections
Jongbaek Song
Let be a reflection group in a plane and a rational polygon that is invariant under the -action. The action of on induces a -action on the toric variety …
Conic decomposition of a toric variety and its application to cohomology
Seonjeong Park, Jongbaek Song
We introduce the notion of a \emph{conic sequence} of a convex polytope. It is a way of building up a polytope starting from a vertex and attaching faces one by one with certain re…
Toric orbifolds associated with partitioned weight polytopes in classical types
Tatsuya Horiguchi, Mikiya Masuda, John Shareshian +1
Given a root system of type , , , or in Euclidean space , let be the associated Weyl group. For a point not orthogonal to any of the roots…
The homotopy classification of four-dimensional toric orbifolds
Xin Fu, Tseleung So, Jongbaek Song
Let be a -dimensional toric orbifold. If has a non-trivial odd primary torsion, then we show that is homotopy equivalent to the wedge of a Moore space and a CW-…
Poincare polynomials of generic torus orbit closures in Schubert varieties
Eunjeong Lee, Mikiya Masuda, Seonjeong Park +1
The closure of a generic torus orbit in the flag variety of type is known to be a permutohedral variety and its Poincare polynomial agrees with the Eulerian polynomial. I…
GKM theory for orbifold stratified spaces and application to singular toric varieties
Soumen Sarkar, Jongbaek Song
We study the GKM theory for a equivariant stratified space having orbifold structures in tis successive quotients. Then, we introduce the notion of an \emph{almost simple polytope}…