Téléchargez le livre : Ideals of Powers and Powers of Ideals

Ideals of Powers and Powers of Ideals

Intersecting Algebra, Geometry, and Combinatorics de

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Éditeur :

Springer


Collection :

Lecture Notes of the Unione Matematica Italiana

Paru le : 2020-05-21

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Description
This book discusses regular powers and symbolic powers of ideals from three perspectives– algebra, combinatorics and geometry – and examines the interactions between them. It invites readers to explore the evolution of the set of associated primes of higher and higher powers of an ideal and explains the evolution of ideals associated with combinatorial objects like graphs or hypergraphs in terms of the original combinatorial objects. It also addresses similar questions concerning  our understanding of the Castelnuovo-Mumford regularity of powers of combinatorially defined ideals in terms of the associated combinatorial data. From a more geometric point of view, the book considers how the relations between symbolic and regular powers can be interpreted in geometrical terms.  Other topics covered include aspects of Waring type problems, symbolic powers of an ideal and their invariants (e.g., the Waldschmidt constant, the resurgence), and the persistence of associated primes.
Pages
161 pages
Collection
Lecture Notes of the Unione Matematica Italiana
Parution
2020-05-21
Marque
Springer
EAN papier
9783030452469
EAN PDF
9783030452476
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
16
Taille du fichier
2488 Ko
Prix
79,11 €
EAN EPUB
9783030452476
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
16
Taille du fichier
5530 Ko
Prix
79,11 €

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