Bibliographic Details
| Title: |
Artinian Gorenstein algebras with binomial Macaulay dual generator |
| Authors: |
Altafi, Nasrin, Dinu, Rodica, Faridi, Sara, Masuti, Shreedevi K., Miró-Roig, Rosa M., Seceleanu, Alexandra, Villamizar, Nelly |
| Publication Year: |
2025 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Commutative Algebra |
| More Details: |
This paper initiates a systematic study for key properties of Artinian Gorenstein \(K\)-algebras having binomial Macaulay dual generators. In codimension 3, we demonstrate that all such algebras satisfy the strong Lefschetz property, can be constructed as a doubling of an appropriate 0-dimensional scheme in \(\mathbb{P}^2\), and we provide an explicit characterization of when they form a complete intersection. For arbitrary codimension, we establish sufficient conditions under which the weak Lefschetz property holds and show that these conditions are optimal.
Comment: Comments are welcome |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2502.18149 |
| Accession Number: |
edsarx.2502.18149 |
| Database: |
arXiv |
