LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516.35
Title	Ideals of Powers and Powers of Ideals ([EBook]) : Intersecting Algebra, Geometry, and Combinatorics / / by Enrico Carlini, Huy Tài Hà, Brian Harbourne, Adam Van Tuyl.
Author	Carlini, Enrico
Added Personal Name	Hà, Huy Tài
	Harbourne, Brian
	Van Tuyl, Adam
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2020.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2020.
Physical Details	XIX, 161 p. 21 illus. : online resource.
Series	Lecture Notes of the Unione Matematica Italiana 1862-9113 ; ; 27
ISBN	9783030452476
Summary Note	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.:
Mode of acces to digital resource	Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note	- Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-45247-6
Links to Related Works	Subject References: Algebraic Geometry . Commutative algebra . Commutative rings . Commutative Rings and Algebras . Number Theory . Authors: author . Carlini, Enrico . Hà, Huy Tài . Harbourne, Brian . Van Tuyl, Adam . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes of the Unione Matematica Italiana . Classification: 516.35 .

Catalogue Display

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

Reviews