3 papers
math.AC2026
Solomon--Terao Algebras: Top Degree, Dimension, and Homology
Hanyu Cai, Haiyang Chen, Shixuan Zeng +1
We study the Solomon--Terao algebra and the Solomon--Terao complex of a central hyperplane arrangement in . Let be a homogeneous polynomial of degr…
quant-ph2026
An Explicit Scott-Type Bound for Absolutely Maximally Entangled States with Arbitrary Defect
Shixuan Zeng, Xiande Zhang
Absolutely maximally entangled (AME) states and, more generally, -uniform states in $(\C^q)^{\otimes n}$ are central objects in multipartite entanglement theory, with applicatio…
math.CO2026
Random Permutations from Bott-Samelson Varieties
Jingqi Li, Haorun Yin, Wenbin Yu +1
Motivated by a recent random pipe dream model, we study a family of probability distributions on \(S_n\) arising from Bott--Samelson varieties over finite fields. More precisely, f…