Gamma-positivity is an elementary property that polynomials with symmetric coefficients may
have, which directly implies their unimodality. The idea behind it stems from work of Foata …

Page 1 WINFRIED BRUNS JOSEPH GUBELADZE Polytopes, Rings, and K-Theory Springer
Springer Monographs in Mathematics Page 2 Springer Monographs in Mathematics For further …

The enumerative theory of simplicial subdivisions (triangulations) of simplicial complexes
was developed by Stanley in order to understand the effect of such subdivisions on the h …

Binomial Eulerian polynomials first appeared in work of Postnikov, Reiner and Williams on
the face enumeration of generalized permutohedra. They are γ-positive (in particular …

Let [Formula: see text] be a sequence of complex numbers such that its generating series
satisfies∑ n⩾ 0antn= h (t)(1− t) d for some polynomial h (t). For any r⩾ 1 we study the …

The Eulerian polynomials and derangement polynomials are two well-studied generating
functions that frequently arise in combinatorics, algebra, and geometry. When one makes an …

The binomial Eulerian polynomials, introduced by Postnikov, Reiner, and Williams, are γ-
positive polynomials and can be interpreted as h-polynomials of certain flag simplicial …

The coefficients of the local h-polynomial of the barycentric subdivision of the simplex with n
vertices are known to count derangements in the symmetric group S_n by the number of …

We study local cohomology of rings of global sections of sheafs on the Alexandrov space of
a partially ordered set. We give a criterion for a splitting of the local cohomology groups into …

In this paper, we answer two questions on local h-vectors, which were asked by
Athanasiadis. First, we characterize all possible local h-vectors of quasi-geometric …