Ideals of Powers and Powers of Ideals : Intersecting Algebra, Geometry, and Combinatorics

Language: English

Published by Springer, 2020

3030452468 / 9783030452469

Series: Book 26 of 26 - Lecture Notes of the Unione Matematica Italiana

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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.…

Title
Ideals of Powers and Powers of Ideals : Intersecting Algebra, Geometry, and Combinatorics
Author
Adam van Tuyl
Publisher
Springer
Publication year
2020
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3030452468
ISBN 13
9783030452469
Item weight
289 grams
Dimensions
235x155x11 mm
Series
Book 26 of 26: Lecture Notes of the Unione Matematica Italiana

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

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