Equations and syzygies of some Kalman varieties

DOI10.1090/S0002-9939-2012-11593-XzbMath1281.14041arXiv1105.5756MaRDI QIDQ2846840

Steven V. Sam

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.5756

zbMATH Keywords

eigenvectorsnormalizationminimal free resolutionKalman variety

Mathematics Subject Classification ID

Determinantal varieties (14M12) Eigenvalues, singular values, and eigenvectors (15A18) Syzygies, resolutions, complexes and commutative rings (13D02) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (3)

Tensors with eigenvectors in a given subspace ⋮ Degrees of Kalman varieties of tensors ⋮ Matrices with eigenvectors in a given subspace

Uses Software

• Macaulay2

Cites Work

• The universal form of the Littlewood-Richardson rule
• Frobenius splitting methods in geometry and representation theory
• Poset Structures in Boij–Söderberg Theory
• Sheaf cohomology and free resolutions over exterior algebras
• Matrices with eigenvectors in a given subspace
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