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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…