3 papers
math.AT2026
On small covers over Bier spheres
Suyoung Choi, Younghan Yoon, Seonghyeon Yu
The Bier sphere of a simplicial complex is defined as the deleted join of and its combinatorial Alexander dual. We focus on the class of Bier spheres of the skeleta of a si…
math.CO2025
Full subcomplexes of Bier spheres
Suyoung Choi, Younghan Yoon, Seonghyeon Yu
Full subcomplexes of a simplicial complex encode essential structure for understanding the complex itself. For a simplicial complex , possibly with a ghost vertex, the Bier sphe…
math.AT2023
The Betti numbers of real toric varieties associated to Weyl chambers of types E7 and E8
Suyoung Choi, Younghan Yoon, Seonghyeon Yu
We compute the rational Betti numbers of the real toric varieties associated to Weyl chambers of types and , completing the computations for all types of root systems.