Fano schemes for generic sums of products of linear forms

DOI10.1142/S0219498820501212zbMath1445.14017arXiv1610.06770OpenAlexW2964006268WikidataQ114614637 ScholiaQ114614637MaRDI QIDQ3303784

Hendrik Süss, Nathan Owen Ilten

Publication date: 4 August 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.06770

zbMATH Keywords

tensor rankFano schemesproduct rank

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Algebraic cycles (14C25) Multilinear algebra, tensor calculus (15A69) Configurations and arrangements of linear subspaces (14N20) Secant varieties, tensor rank, varieties of sums of powers (14N07)

Related Items (3)

Tropical Fano schemes ⋮ Waring rank of symmetric tensors, and singularities of some projective hypersurfaces ⋮ Fano schemes of complete intersections in toric varieties

Cites Work

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• On the nuclear norm and the singular value decomposition of tensors
• Lower bound for ranks of invariant forms
• The permanent of a square matrix
• Fano-varieties of lines on hypersurfaces
• Fano schemes of linear spaces on hypersurfaces
• Hypersurfaces of low degree
• Apolarity for determinants and permanents of generic matrices
• Fano schemes of determinants and permanents
• Product Ranks of the 3 × 3 Determinant and Permanent
• Lines on projective hypersurfaces
• Equations for secant varieties of Chow varieties
• Flattenings and Koszul Young flattenings arising in complexity theory

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