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Ideals of powers and powers of ideal...

Carlini, Enrico.

Ideals of powers and powers of idealsintersecting algebra, geometry, and combinatorics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Ideals of powers and powers of idealsby Enrico Carlini ... [et al.].
Reminder of title:	intersecting algebra, geometry, and combinatorics /
other author:	Carlini, Enrico.
Published:	Cham :Springer International Publishing :2020.
Description:	xix, 161 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Geometry, Algebraic.
Online resource:	https://doi.org/10.1007/978-3-030-45247-6
ISBN:	9783030452476$q(electronic bk.)

Ideals of powers and powers of idealsintersecting algebra, geometry, and combinatorics /
Ideals of powers and powers of idealsintersecting algebra, geometry, and combinatorics /[electronic resource] :by Enrico Carlini ... [et al.]. - Cham :Springer International Publishing :2020. - xix, 161 p. :ill., digital ;24 cm. - Lecture notes of the Unione Matematica Italiana,271862-9113 ;. - Lecture notes of the Unione Matematica Italiana ;15..

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.

ISBN: 9783030452476$q(electronic bk.)

Standard No.: 10.1007/978-3-030-45247-6doiSubjects--Topical Terms:

190843
Geometry, Algebraic.

LC Class. No.: QA564

Dewey Class. No.: 516.35

Ideals of powers and powers of idealsintersecting algebra, geometry, and combinatorics /
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245 0 0 $a Ideals of powers and powers of ideals $h [electronic resource] : $b intersecting algebra, geometry, and combinatorics / $c by Enrico Carlini ... [et al.].
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300 $a xix, 161 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes of the Unione Matematica Italiana, $x 1862-9113 ; $v 27
520 $a 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.
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650 2 4 $a Commutative Rings and Algebras. $3 274057
650 2 4 $a Number Theory. $3 274059
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