On apolarity and generic canonical forms

DOI10.1006/jabr.1995.6649zbMath0920.15011OpenAlexW2112426068MaRDI QIDQ1283668

Richard Ehrenborg

Publication date: 22 April 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1995.6649

zbMATH Keywords

symmetric tensorsmultilinear formsSteiner triple systemsapolaritycombinatorial boundsessential rank\(\mathcal S\)-algebrageneric canonical formsskew-symmetric tensors

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69) Canonical forms, reductions, classification (15A21)

Related Items

Canonical forms of 2 × 2 × 2 and 2 × 2 × 2 × 2 symmetric tensors over prime fields, Secant varieties of Grassmann varieties, On the variety parameterizing completely decomposable polynomials, Inverse systems of zero-dimensional schemes in \(\mathbb P^n\), On the dimension of higher secant varieties of Segre varieties \(\mathbb P^n \times \cdots \times \mathbb P^n\), A tropical approach to secant dimensions, Varieties of completely decomposable forms and their secants, Canonical forms of order-k(k= 2, 3, 4) symmetric tensors of format 3 × … × 3 over prime fields, Canonical forms of two by two by two matrices, Non-defectivity of Grassmannians of planes, Ranks of tensors, secant varieties of Segre varieties and fat points

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Context-free grammars, differential operators and formal power series
• Apolarity and canonical forms for homogeneous polynomials
• Canonical forms of two by two by two matrices
• The invariant theory of binary forms
• Sums of even powers of real linear forms
• The football pool problem for 5 matches
• Note on a theorem of Zaremba
• Coverings by rook domains