Name: Ideals of Powers and Powers of Ideals: Intersecting Algebra, Geometry, and Combinatorics (en Inglés)
SKU: 57308287
Price: 84.31 USD
Availability: InStock
Author: Carlini, Enrico ; Hà, Huy Tài ; Harbourne, Brian
ISBN: 9783030452469

portada Ideals of Powers and Powers of Ideals: Intersecting Algebra, Geometry, and Combinatorics (en Inglés)

Ideals of Powers and Powers of Ideals: Intersecting Algebra, Geometry, and Combinatorics (en Inglés)

Formato

Libro Físico

Autor

Editorial

Idioma

Inglés

N° páginas

161

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6x1 cm

Peso

0.27 kg.

ISBN13

9783030452469

Categorías

Álgebra
Teoría de números
Geometría algebraica

Ideals of Powers and Powers of Ideals: Intersecting Algebra, Geometry, and Combinatorics (en Inglés)

Enrico Carlini (Autor) · Huy Tài Hà (Autor) · Brian Harbourne (Autor) · Springer · Tapa Blanda

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Reseña del libro "Ideals of Powers and Powers of Ideals: Intersecting Algebra, Geometry, and Combinatorics (en Inglés)"

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.