Determinantal Ideals

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Determinantal ideals are ideals generated by minors of a homogeneous polynomial matrix. Some classical ideals that can be generated in this way are the ideal of the Veronese varieties, of the Segre varieties, and of the rational normal scrolls. Determinantal ideals are a central topic in both commut...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Miró-Roig, Rosa M. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2008.
Edición:1st ed. 2008.
Colección:Progress in Mathematics, 264
Temas:
Commutative algebra.
Commutative rings.
Discrete mathematics.
Commutative Rings and Algebras.
Discrete Mathematics.
Acceso en línea:Texto Completo
Descripción
Sumario:Determinantal ideals are ideals generated by minors of a homogeneous polynomial matrix. Some classical ideals that can be generated in this way are the ideal of the Veronese varieties, of the Segre varieties, and of the rational normal scrolls. Determinantal ideals are a central topic in both commutative algebra and algebraic geometry, and they also have numerous connections with invariant theory, representation theory, and combinatorics. Due to their important role, their study has attracted many researchers and has received considerable attention in the literature. In this book three crucial problems are addressed: CI-liaison class and G-liaison class of standard determinantal ideals; the multiplicity conjecture for standard determinantal ideals; and unobstructedness and dimension of families of standard determinantal ideals.
Descripción Física:XVI, 140 p. online resource.
ISBN:9783764385354
ISSN:2296-505X ;

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