3 papers
math.CO2026
Complete simplicial fans, Stanley--Reisner rings, and equivariant h-polynomials
Tao Gui
We derive a graded character formula for the action of any finite group on the Artinian reduction of the Stanley--Reisner ring of any complete simplicial fan, which is given by an…
math.CO2025
Asymptotic Log-concavity of Dominant Lower Bruhat Intervals via Brunn--Minkowski Inequality
Gaston Burrull, Tao Gui, Hongsheng Hu
Björner and Ekedahl [Ann. of Math. (2), 170.2(2009), pp. 799--817] pioneered the study of length-counting sequences associated with parabolic lower Bruhat intervals in crystallogr…
math.AT2025
Weyl group symmetries of the toric variety associated with Weyl chambers
Tao Gui, Hongsheng Hu, Minhua Liu
For any crystallographic root system, let be the associated Weyl group, and let be the weight polytope (also known as the -permutohedron) associated with an ar…