Ideals of powers and powers of ideals : intersecting algebra, geometry, and combinatorics / Enrico Carlini, Huy Tài Hà, Brian Harbourne, Adam Van Tuyl.
2020
QA564
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Title
Ideals of powers and powers of ideals : intersecting algebra, geometry, and combinatorics / Enrico Carlini, Huy Tài Hà, Brian Harbourne, Adam Van Tuyl.
Author
Carlini, Enrico.
ISBN
9783030452476 (electronic book)
3030452476 (electronic book)
3030452468
9783030452469
3030452476 (electronic book)
3030452468
9783030452469
Publication Details
Cham : Springer, c2020.
Language
English
Description
1 online resource
Item Number
10.1007/978-3-030-45
10.1007/978-3-030-45247-6 doi
10.1007/978-3-030-45247-6 doi
Call Number
QA564
Dewey Decimal Classification
516.3/5
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Digital File Characteristics
text file PDF
Added Author
Hà, Huy Tài.
Harbourne, Brian, 1955-
Van Tuyl, Adam.
Harbourne, Brian, 1955-
Van Tuyl, Adam.
Series
Lecture notes of the Unione Matematica Italiana ; 27.
Available in Other Form
Print version: 9783030452469
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