Pairs of commuting nilpotent matrices, and Hilbert function
From MaRDI portal
Publication:949598
DOI10.1016/j.jalgebra.2008.03.006zbMath1194.14011arXiv0709.2304OpenAlexW2964296901MaRDI QIDQ949598
Roberta Basili, Anthony A. Iarrobino
Publication date: 21 October 2008
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0709.2304
Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Parametrization (Chow and Hilbert schemes) (14C05)
Related Items
On the maximal nilpotent orbit that intersects the centralizer of a matrix ⋮ On the nilpotent commutator of a nilpotent matrix ⋮ Hilbert-Samuel sequences of homogeneous finite type ⋮ Hassett-Tschinkel correspondence: Modality and projective hypersurfaces ⋮ Commuting nilpotent matrices and Artinian algebras. ⋮ Punctures for theories of class \( {\mathcal{S}}_{\Gamma} \) ⋮ Bound on the Jordan type of a generic nilpotent matrix commuting with a given matrix ⋮ The poset of the nilpotent commutator of a nilpotent matrix ⋮ Commuting varieties of \(r\)-tuples over Lie algebras. ⋮ The smallest part of the generic partition of the nilpotent commutator of a nilpotent matrix ⋮ The strong Lefschetz property in codimension two ⋮ Nilpotent matrices having a given Jordan type as maximum commuting nilpotent orbit ⋮ On the variety of almost commuting nilpotent matrices ⋮ Free extensions and Jordan type ⋮ Free extensions and Lefschetz properties, with an application to rings of relative coinvariants ⋮ On pairs of commuting nilpotent matrices ⋮ Artinian algebras and Jordan type
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Betti numbers for the Hilbert function strata of the punctual Hilbert scheme in two variables
- An algebraic fibre bundle over P\(_1\) that is not a vector bundle
- On incidence between strata of the Hilbert scheme of points on \(\mathbb{P}^{2}\)
- Description de Hilb sup(n) C{X,Y}
- Commuting pairs in the centralizers of 2-regular matrices
- Two-generated commutative subalgebras of \(M_ n(F)\)
- Cellular decompositions for nested Hilbert schemes of points
- On the irreducibility of commuting varieties of nilpotent matrices
- Nilpotent commuting varieties of reductive Lie algebras
- On the irreducibility of varieties of commuting matrices
- On a cell decomposition of the Hilbert scheme of points in the plane.
- On Ellingsrud and Strømme's cell decomposition of \(\mathbf{Hilb}^n_{\mathbb{A}^2_\mathbb{C}}\)
- Commuting pairs and triples of matrices and related varieties
- Two results on centralisers of nilpotent elements
- Jordan forms for mutually annihilating nilpotent pairs
- On the centralizer of the sum of commuting nilpotent elements.
- On dominance and varieties of commuting matrices
- Géométrie des schémas de Hilbert ponctuels
- Vector bases for two commuting matrices
- Norms on rings and the Hilbert scheme of points on the line
- A note on commuting pairs of matrices
- Singularities in the Nilpotent Scheme of a Classical Group
- Punctual Hilbert schemes
- Associated graded algebra of a Gorenstein Artin algebra
- Décomposition cellulaire de variétés paramétrant des idéaux homogènes de C x,y. Incidence des cellules - II -.
- On Chow rings of fine moduli spaces of modules.
- The Family GTof Graded Artinian Quotients ofk[x,y of Given Hilbert Function]
- The variety of pairs of commuting nilpotent matrices is irreducible