4 papers · 1 filter
Interval Deformations of Coxeter Arrangements
Yanru Chen, Ang Li, Suijie Wang
We study integer-interval deformations of Coxeter arrangements of types , , and , assigning an integer interval to each root direction through an integer-valued root funct…
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 : \[ χ(M,st)=\sum_{X\in \underline{M}} s^{r-{\rm rk}_{\underline{M}}(X)}χ(…