Titlebook: Determinantal Ideals of Square Linear Matrices; Zaqueu Ramos,Aron Simis Textbook 2024 The Editor(s) (if applicable) and The Author(s), und

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Obliterate

Algebraic Preliminariesthe point of view of commutative algebra and geometry, with an emphasis on the role of the adjugate matrix, cofactors, and other determinantal minors. The latter are a tool to approach various questions concerning matrices with homogeneous linear entries, such as the structure of the linear syzygies

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Linear Sections of the Generic Square Matrixne deals with ladder ideals that are Gorenstein, and in the codimension three case, a full discussion of its properties is given, including an explicit alternating matrix for the corresponding maximal Pfaffians and the structure of its lower Pfaffians. In the sequel, based on such Gorenstein ideals,

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Myofibrils

Linear Sections of the Generic Square Hankel Matrixpermeates the theory of orthogonal polynomials, is the Hamburger Momentum Problem. Some modern aspects of this activity are reflected in probabilities. Typical Hankel matrices in this connection are matrices with real or complex number entries, and some of the problems ask when they enjoy the proper

Myofibrils

Hankel Like Catalecticantshe special case of a Hankel matrix. The classical one is a symmetric matrix in the square case, representing a linear map attached to a given form in the dual space, induced by the Macaulay inverse action. The matrices in this chapter constitute a natural extension of the Hankel logistic, consisting

Apraxia

The Dual Variety of a Linear Determinantal Hypersurfacey to the determinantal hypersurfaces of many of the linear sections considered in previous chapters. It also gives a notion of the structure of the homogeneous defining ideal of the dual variety in its natural embedding – the latter by no means being a trivial issue as the dual variety is most of th

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Mnemonics