Houshan Fu

activity

20242026

collaborators

6 papers

math.CO2026

Log-Concavity of Conic Intrinsic Volumes

Houshan Fu, Suijie Wang

Let $n \geq 1$ and $C \subseteq R^{n}$ be a closed convex cone with conic intrinsic volumes $v_{0} (C), \dots, v_{n} (C)$ . We prove the long-standing log-concavity conjecture for this s…

math.CO2026

Convolution-type Identity for Characteristic Polynomials of Geometric Semilattices

Yanru Chen, Houshan Fu, Ang Li +1

We establish a convolution formula for the characteristic polynomial of a finite geometric semilattice $M$ : \[ Ï(M,st)=\sum_{X\in \underline{M}} s^{r-{\rm rk}_{\underline{M}}(X)}Ï…

math.CO2026

Level of Faces for Exponential Sequence of Arrangements

Yanru Chen, Houshan Fu, Weikang Liang +1

In this paper, we introduce the bivariate exponential generating function $F_{l} (x, y)$ for the number of level- $l$ faces of an exponential sequence of arrangements (ESA), and establi…

math.CO2026

Characteristic quasi-polynomials of truncated arrangements

Ying Cao, Houshan Fu

Given an (affine) integral arrangement $A$ in $R^{n}$ , the reduction of $A$ modulo an arbitrary positive integer $q$ naturally yields an arrangement $\ma…

math.CO2025

A decomposition of Grassmannian associated with a hyperplane arrangement

Houshan Fu, Weikang Liang, Suijie Wang

The Grassmannian, which is the manifold of all $k$ -dimensional subspaces in the Euclidean space $R^{n}$ , was decomposed through three equivalent methods connecting combinato…

math.CO2024

Level of Regions for Deformed Braid Arrangements

Yanru Chen, Houshan Fu, Suijie Wang +1

This paper primarily investigates a specific type of deformation of the braid arrangement $B_{n}$ in $R^{n}$ , denoted by $B_{n}^{A}$ and defined in (1.2). Let…