6 papers
Log-Concavity of Conic Intrinsic Volumes
Houshan Fu, Suijie Wang
Let and be a closed convex cone with conic intrinsic volumes . We prove the long-standing log-concavity conjecture for this s…
Characteristic Polynomials of Graph- and Digraph-Deleted Catalan Arrangements
Yanru Chen, Ang Li, Suijie Wang
We develop a finite-field stratification for characteristic polynomials of deletion subarrangements of the full -Catalan arrangement. It reduces the count to cyclic placements o…
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 : \[ Ï(M,st)=\sum_{X\in \underline{M}} s^{r-{\rm rk}_{\underline{M}}(X)}Ï…
Level Decompositions for Symmetric Deformations of the Braid Arrangement
Yanru Chen, Suijie Wang, Jinxing Yang +1
Let be finite and nonempty, and let be the associated sequence of symmetric deformations of t…
A decomposition of Grassmannian associated with a hyperplane arrangement
Houshan Fu, Weikang Liang, Suijie Wang
The Grassmannian, which is the manifold of all -dimensional subspaces in the Euclidean space , was decomposed through three equivalent methods connecting combinato…
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 in , denoted by and defined in (1.2). Let…