English

Specializations of Ferrers ideals

Commutative Algebra 2007-05-23 v1 Combinatorics

Abstract

We introduce a specialization technique in order to study monomial ideals that are generated in degree two by using our earlier results about Ferrers ideals. It allows us to describe explicitly a cellular minimal free resolution of various ideals including any strongly stable and any squarefree strongly stable ideal whose minimal generators have degree two. In particular, this shows that threshold graphs can be obtained as specializations of Ferrers graphs, which explains their similar properties.

Keywords

Cite

@article{arxiv.math/0703695,
  title  = {Specializations of Ferrers ideals},
  author = {Alberto Corso and Uwe Nagel},
  journal= {arXiv preprint arXiv:math/0703695},
  year   = {2007}
}

Comments

10 pages, 7 figures

R2 v1 2026-07-22T17:53:07.458Z