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  1. Bog
  2. Geometri
  3. Algebraisk geometri

Ideals of Powers and Powers of Ideals

- Intersecting Algebra, Geometry, and Combinatorics
Af: Huy Tai Ha, Adam Van Tuyl, Brian Harbourne, Enrico Carlini Engelsk Paperback

Ideals of Powers and Powers of Ideals

- Intersecting Algebra, Geometry, and Combinatorics
Af: Huy Tai Ha, Adam Van Tuyl, Brian Harbourne, Enrico Carlini Engelsk Paperback
Tjek vores konkurrenters priser
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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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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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 161
ISBN-13: 9783030452469
Indbinding: Paperback
Udgave:
ISBN-10: 3030452468
Kategori: Algebraisk geometri
Udg. Dato: 22 maj 2020
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 22 maj 2020
Forfatter(e): Huy Tai Ha, Adam Van Tuyl, Brian Harbourne, Enrico Carlini
Forfatter(e) Huy Tai Ha, Adam Van Tuyl, Brian Harbourne, Enrico Carlini

Kategori Algebraisk geometri

ISBN-13 9783030452469

Sprog Engelsk

Indbinding Paperback

Sider 161

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 22 maj 2020

Oplagsdato 22 maj 2020

Forlag Springer Nature Switzerland AG

Kategori sammenhænge