Lefschetz properties for complete intersection ideals generated by products of linear forms
Martina Juhnke-Kubitzke, Rosa M. Mir\'o-Roig, Satoshi Murai and, Akihito Wachi
TL;DR
This paper investigates the strong Lefschetz property in artinian complete intersection ideals generated by products of linear forms, proving it for a specific class with binomial generators.
Contribution
It establishes the strong Lefschetz property for a new class of ideals generated by products of linear forms, expanding understanding in algebraic geometry.
Findings
Proves the strong Lefschetz property for ideals with binomial generators.
Identifies conditions under which the property holds.
Contributes to the classification of ideals with Lefschetz properties.
Abstract
In this paper, we study the strong Lefschetz property of artinian complete intersection ideals generated by products of linear forms. We prove the strong Lefschetz property for a class of such ideals with binomial generators.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Algebraic Geometry and Number Theory