Isomorphism classes of short Gorenstein local rings via Macaulay’s inverse system
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Publication:2841363
DOI10.1090/S0002-9947-2012-05430-4zbMath1281.13015arXiv0911.3565MaRDI QIDQ2841363
Maria Evelina Rossi, Juan Elias
Publication date: 25 July 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0911.3565
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Parametrization (Chow and Hilbert schemes) (14C05)
Related Items (24)
On the rationality of Poincaré series of Gorenstein algebras via Macaulay's correspondence ⋮ A structure theorem for \(2\)-stretched Gorenstein algebras ⋮ Artinian level algebras of socle degree 4 ⋮ Associated forms of binary quartics and ternary cubics ⋮ Smoothable Gorenstein Points Via Marked Schemes and Double-generic Initial Ideals ⋮ Classifying local Artinian Gorenstein algebras ⋮ Symmetric decomposition of the associated graded algebra of an Artinian Gorenstein algebra ⋮ Nets of conics and associated Artinian algebras of length 7. Translation and update of the 1977 version by J. Emsalem and A. Iarrobino ⋮ Nilpotent algebras and affinely homogeneous surfaces ⋮ On the Gorenstein locus of the punctual Hilbert scheme of degree 11 ⋮ Poincaré series of modules over compressed Gorenstein local rings ⋮ Associated forms in classical invariant theory and their applications to hypersurface singularities ⋮ Inverse limits of Macaulay's inverse systems ⋮ Associated graded rings and connected sums ⋮ Decomposing Gorenstein rings as connected sums ⋮ Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein schemes ⋮ Self-tests for freeness over commutative Artinian rings. ⋮ On low Gorenstein colength ⋮ VSPs of cubic fourfolds and the Gorenstein locus of the Hilbert scheme of 14 points on \(\mathbb{A}^6\) ⋮ Poincaré Series and Deformations of Gorenstein Local Algebras ⋮ A constructive approach to one-dimensional Gorenstein ${\mathbf {k}}$-algebras ⋮ Analytic isomorphisms of compressed local algebras ⋮ A criterion for isomorphism of Artinian Gorenstein algebras ⋮ The structure of the inverse system of Gorenstein \(k\)-algebras
Cites Work
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- Structure theorems for certain Gorenstein ideals
- On some Gorenstein loci in \(\mathcal Hilb_6(\mathbb P^4_k)\)
- The Dilworth number of Artin Gorenstein rings
- On the Gorenstein locus of some punctual Hilbert schemes
- Hilbert schemes of 8 points
- Parametrization of the orbits of cubic surfaces
- Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
- Reducibility of the families of O-dimensional schemes on a variety
- Gorenstein rings with transcendental Poincaré-series.
- Compressed Algebras: Artin Algebras Having Given Socle Degrees and Maximal Length
- Free resolutions over short local rings
- Géométrie des points épais
- Associated graded algebra of a Gorenstein Artin algebra
- Infective Envelopes and Inverse Polynomials
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