Pure O-sequences: known results, applications, and open problems
Commutative Algebra
2013-02-20 v2 Combinatorics
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.
Cite
@article{arxiv.1204.5247,
title = {Pure O-sequences: known results, applications, and open problems},
author = {Juan Migliore and Uwe Nagel and Fabrizio Zanello},
journal= {arXiv preprint arXiv:1204.5247},
year = {2013}
}
Comments
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