Pure O-sequences: known results, applications, and open problems
arXiv:1204.5247
Abstract
This note presents a discussion of the algebraic and combinatorial aspects of the theory of pure O-sequences. Various instances where pure O-sequences appear are described. Several open problems that deserve further investigation are also presented.
Some minor revisions with respect to the previous version. 20 pages. To appear in a Springer volume edited by Irena Peeva and dedicated to David Eisenbud on the occasion of his 65th birthday