" The appearance of Grünbaum's book Convex Polytopes in 1967 was a moment of grace to
geometers and combinatorialists. The special spirit of the book is very much alive even in …

An arrangement of hyperplanes is a finite collection of codimension one affine subspaces in
a finite dimensional vector space. Arrangements have emerged independently as important …

Page numbers refer to the page numbers at the top of the pages, not to the page count of the
PDF file.• page 2: You speak of the “usual dot product”, but there is no “usual dot product” on …

H. Terao has shown that the structure of the module of (rational) differential forms with at
most logarithmic poles at an arrangement of hyperplanes (as defined by K. Saito) is very …

The article surveys structural characterizations of several graph classes defined by distance
properties, which have in part a general algebraic flavor and can be interpreted as subdirect …

We situate the noncrossing partitions associated with a finite Coxeter group within the
context of the representation theory of quivers. We describe Reading's bijection between …

Greedoids were invented around 1980 by B. Korte and L. Lovász. Originally, the main
motivation for proposing this generalization of the matroid concept came from combinatorial …

This paper will describe some recent developments in an area where combinatorics and
complexity theory on the one hand, and geometry and topology on the other, have interacted …

This monograph studies the interplay between various algebraic, geometric and
combinatorial aspects of real hyperplane arrangements. It provides a careful, organized and …

We study the higher Bruhat orders $ B (n, k) $ of Manin & Schechtman [MaS] and-
characterize them in terms of inversion sets,-identify them with the posets $ U (C^{n+ 1, r}, n+ …