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＜電子ブック＞
Ideals of Powers and Powers of Ideals : Intersecting Algebra, Geometry, and Combinatorics / by Enrico Carlini, Huy Tài Hà, Brian Harbourne, Adam Van Tuyl
(Lecture Notes of the Unione Matematica Italiana. ISSN:18629121 ; 27)

版	1st ed. 2020.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2020
大きさ	XIX, 161 p. 21 illus : online resource
著者標目	*Carlini, Enrico author Hà, Huy Tài author Harbourne, Brian author Van Tuyl, Adam author SpringerLink (Online service)
件　名	LCSH:Algebraic geometry LCSH:Commutative algebra LCSH:Commutative rings LCSH:Number theory FREE:Algebraic Geometry FREE:Commutative Rings and Algebras FREE:Number Theory
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-030-45247-6

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