Degenerations of the generic square matrix, the polar map and the determinantal structure

DOI10.1142/S0218196718500571zbMath1403.13020arXiv1610.07681OpenAlexW2963286892MaRDI QIDQ4554888

Zaqueu Ramos, Rainelly Cunha, Aaron Simis

Publication date: 12 November 2018

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.07681

zbMATH Keywords

Hessiandual varietyCohen-Macaulaypolar mapgradient idealsubmaximal minorshomaloidal polynomial\(1\)-genericladder ideal

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Linkage, complete intersections and determinantal ideals (13C40) Determinantal varieties (14M12) Rational and birational maps (14E05) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (3)

Symmetry preserving degenerations of the generic symmetric matrix ⋮ Coordinate sections of generic Hankel matrices ⋮ Hypersurfaces with vanishing Hessian via Dual Cayley Trick

Cites Work

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• Hypersurfaces with degenerate duals and the geometric complexity theory program
• Combinatorics of Cremona monomial maps
• Linear Sections of Determinantal Varieties
• The Derivative of a Determinant
• Monomial Ideals
• Bertini Forms and Hessian Matrices

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