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000932957 019__ $$a1155881170$$a1156057449$$a1156786745$$a1157249564$$a1157554261$$a1158337292
000932957 020__ $$a9783030452476$$q(electronic book)
000932957 020__ $$a3030452476$$q(electronic book)
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000932957 0247_ $$a10.1007/978-3-030-45
000932957 0247_ $$a10.1007/978-3-030-45247-6$$2doi
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000932957 1001_ $$aCarlini, Enrico.
000932957 24510 $$aIdeals of powers and powers of ideals :$$bintersecting algebra, geometry, and combinatorics /$$cEnrico Carlini, Huy Tài Hà, Brian Harbourne, Adam Van Tuyl.
000932957 260__ $$aCham :$$bSpringer,$$cc2020.
000932957 300__ $$a1 online resource
000932957 336__ $$atext$$btxt$$2rdacontent
000932957 337__ $$acomputer$$bc$$2rdamedia
000932957 338__ $$aonline resource$$bcr$$2rdacarrier
000932957 347__ $$atext file$$bPDF$$2rda
000932957 4901_ $$aLecture Notes of the Unione Matematica Italiana,$$x1862-9113 ;$$v27
000932957 504__ $$aIncludes bibliographical references and index.
000932957 506__ $$aAccess limited to authorized users.
000932957 520__ $$aThis book discusses regular powers and symbolic powers of ideals from three perspectives- algebra, combinatorics and geometry - and examines the interactions between them. It invites readers to explore the evolution of the set of associated primes of higher and higher powers of an ideal and explains the evolution of ideals associated with combinatorial objects like graphs or hypergraphs in terms of the original combinatorial objects. It also addresses similar questions concerning our understanding of the Castelnuovo-Mumford regularity of powers of combinatorially defined ideals in terms of the associated combinatorial data. From a more geometric point of view, the book considers how the relations between symbolic and regular powers can be interpreted in geometrical terms. Other topics covered include aspects of Waring type problems, symbolic powers of an ideal and their invariants (e.g., the Waldschmidt constant, the resurgence), and the persistence of associated primes.
000932957 650_0 $$aGeometry, Algebraic.
000932957 7001_ $$aHà, Huy Tài.
000932957 7001_ $$aHarbourne, Brian,$$d1955-
000932957 7001_ $$aVan Tuyl, Adam.
000932957 77608 $$iPrint version: $$z3030452468$$z9783030452469$$w(OCoLC)1144095867
000932957 830_0 $$aLecture notes of the Unione Matematica Italiana ;$$v27.
000932957 852__ $$bebk
000932957 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-030-45247-6$$zOnline Access$$91397441.1
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000932957 980__ $$aEBOOK
000932957 980__ $$aBIB
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000932957 983__ $$aOnline
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