Determinants of incidence and Hessian matrices arising from the vector space lattice

DOI10.1216/JCA-2019-11-1-131zbMath1407.05039arXiv1408.2136OpenAlexW2962976157MaRDI QIDQ670641

Saeed Nasseh, Junzo Watanabe, Alexandra Seceleanu

Publication date: 18 March 2019

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2136

zbMATH Keywords

incidence matrixHessianfinite geometryGorenstein algebrasstrong Lefschetz propertyvector space lattice

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial aspects of finite geometries (05B25) Graded rings (13A02) Lattices of subspaces and geometric closure systems (51D25)

Related Items (1)

Artinian algebras and Jordan type

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The determinants of certain matrices arising from the Boolean lattice
• Advanced determinant calculus
• Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
• Product evaluations of Lefschetz determinants for Grassmannians and of determinants of multinomial coefficients
• Lefschetz elements of Artinian Gorenstein algebras and hessians of homogeneous polynomials
• The Lefschetz properties
• Smith normal forms of incidence matrices
• On incidence matrices of finite projective and affine spaces
• Sperner property, matroids and finite-dimensional Gorenstein algebras

This page was built for publication: Determinants of incidence and Hessian matrices arising from the vector space lattice