The weak Lefschetz property for standard graded, Artinian Gorenstein algebras of embedding dimension four and socle degree three
From MaRDI portal
Publication:6496980
DOI10.1016/J.JALGEBRA.2024.04.001MaRDI QIDQ6496980
Publication date: 6 May 2024
Published in: Journal of Algebra (Search for Journal in Brave)
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Linkage, complete intersections and determinantal ideals (13C40) Graded rings (13A02) Syzygies, resolutions, complexes and commutative rings (13D02) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Artinian Gorenstein algebras with linear resolutions
- Young diagrams and determinantal varieties
- Schur functors and Schur complexes
- Poincaré series of compressed local Artinian rings with odd top socle degree
- On mixed Hessians and the Lefschetz properties
- Lefschetz elements of Artinian Gorenstein algebras and hessians of homogeneous polynomials
- A note on the weak Lefschetz property of monomial complete intersections in positive characteristic
- Poincaré series of modules over compressed Gorenstein local rings
- The explicit minimal resolution constructed from a Macaulay inverse system
- Quadratically presented grade three Gorenstein ideals
- Perazzo 3-folds and the weak Lefschetz property
- Gorenstein rings with transcendental Poincaré-series.
- The Weak Lefschetz Property for monomial complete intersection in positive characteristic
- An Explicit, Characteristic-Free, Equivariant Homology Equivalence Between Koszul Complexes
- Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
- On Complete Intersections and Their Hilbert Functions
- On the Theory of Gordan-Noether on Homogeneous Forms with Zero Hessian (Improved Version)
- The structure of Gorenstein-linear resolutions of Artinian algebras
- A theorem of Gordan and Noether via Gorenstein rings
This page was built for publication: The weak Lefschetz property for standard graded, Artinian Gorenstein algebras of embedding dimension four and socle degree three