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Determinantal Ideals of Square Linear Matrices

This book explores determinantal ideals of square matrices from the perspective of commutative algebra, with a particular emphasis on linear matrices. Its content has been extensively tested in several lectures given on various occasions, typically to audiences composed of commutative algebraists, a...

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Autors principals: Ramos, Zaqueu (Autor), Simis, Aron (Autor)
Autor corporatiu: SpringerLink (Online service)
Format: Electrònic eBook
Idioma:anglès
Publicat: Cham : Springer International Publishing : Imprint: Springer, 2024.
Edició:1st ed. 2024.
Matèries:
Commutative algebra.
Commutative rings.
Algebraic geometry.
Algebraic fields.
Polynomials.
Commutative Rings and Algebras.
Algebraic Geometry.
Field Theory and Polynomials.
Accés en línia:https://doi.org/10.1007/978-3-031-55284-7
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Taula de continguts:
  • Part I: General oversight
  • Background steps in determinantal rings
  • Algebraic preliminaries
  • Geometric oversight
  • Part II: Linear section of notable structured square matrices
  • Linear sections of the generic square matrix
  • Symmetry preserving linear sections of the generic symmetric matrix
  • Linear sections of the generic square Hankel matrix
  • Hankel like catalecticants
  • The dual variety of a linear determinantal hypersurface
  • Part III: Other classes of linear sections
  • Hilbert-Burch linear sections
  • Apocryphal classes
  • Appendix
  • Index.

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