Determinantal Ideals

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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Détails bibliographiques
Auteur principal: Miró-Roig, Rosa M., 1960-...., mathématicienne
Format: Livre numérique
Langue:Anglais
Publié: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Édition:1st ed. 2008.
Collection:Progress in Mathematics 264
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Note: L'impression du document génère 148 p.
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Determinantal ideals, Rosa M. Miró-Roig, Basel, Birkhäuser, 2008, 1 vol. (xvi-138 p.), Progress in mathematics, 978-3-7643-8534-7
• Determinantal Ideals, Texte imprimé, 9783764392192
• Determinantal ideals, Rosa M. Miró-Roig, Basel, Birkhäuser, 2008, 1 vol. (xvi-138 p.), Progress in mathematics, 978-3-7643-8534-7
Description
Résumé: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.
Description:L'impression du document génère 148 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliographie:Bibliogr. Index
ISBN:9783764385354
ISSN:2296-505X
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