A binary tree of complete intersections with the strong Lefschetz property
Commutative Algebra
2024-03-05 v1
Abstract
In this paper we give a new family of complete intersections which have the strong Lefschetz property. The family consists of (Artinian algebras defined by) ideals generated by power sum symmetric polynomials of consecutive degrees and of certain ideals naturally derived from them. This family has a structure of a binary tree and this observation is a key to prove that all members in it have the strong Lefschetz property.
Cite
@article{arxiv.2403.01096,
title = {A binary tree of complete intersections with the strong Lefschetz property},
author = {Tadahito Harima and Satoru Isogawa and Junzo Watanabe},
journal= {arXiv preprint arXiv:2403.01096},
year = {2024}
}
Comments
24 pages