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

by Adam Van Tuyl, Brian Harbourne, Enrico Carlini, et al.

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...

• Format: Paperback
• Language: English
• ISBN: 3030452468
• ISBN13: 9783030452469
• Release Date: May 2020
• Publisher: Springer
• Length: 161 Pages
• Weight: 0.59 lbs.
• Dimensions: 0.4" x 6.1" x 9.2"