Description: Ideals of Powers and Powers of Ideals : Intersecting Algebra, Geometry, and Combinatorics, Paperback by Carlini, Enrico; Hà, Huy Tài; Harbourne, Brian; Van Tuyl, Adam, ISBN 3030452468, ISBN-13 9783030452469, Brand New, Free shipping in the US 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, th 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 (., the Waldschmidt constant, the resurgence), and the persistence of associated primes.
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Book Title: Ideals of Powers and Powers of Ideals : Intersecting Algebra, Geo
Number of Pages: Xix, 161 Pages
Language: English
Publication Name: Ideals of Powers and Powers of Ideals : Intersecting Algebra, Geometry, and Combinatorics
Publisher: Springer International Publishing A&G
Publication Year: 2020
Subject: Algebra / Abstract, Number Theory, Geometry / Algebraic
Type: Textbook
Item Weight: 16 Oz
Subject Area: Mathematics
Author: Adam Van Tuyl, Brian Harbourne, Enrico Carlini, Huy Tài Hà
Item Length: 9.3 in
Item Width: 6.1 in
Series: Lecture Notes of the Unione Matematica Italiana Ser.
Format: Trade Paperback
