Ideals of Powers and Powers of Ideals
Carlini, Enrico, Hà, Huy Tài, Harbourne, Brian, Van Tuyl, Adam
Produktnummer:
180612350d4e2d4f12bf192d994246c638
| Autor: | Carlini, Enrico Harbourne, Brian Hà, Huy Tài Van Tuyl, Adam |
|---|---|
| Themengebiete: | Associated Primes Castelnuovo-Mumford Regularity Containment Problem Edge and Cover Ideals of Finite Simple Graphs Monomial Ideals Powers of Ideals Symbolic Defect Symbolic Powers of Ideals Unexpected Curves and Hypersurfaces Waldschmidt Constant |
| Veröffentlichungsdatum: | 22.05.2020 |
| EAN: | 9783030452469 |
| Sprache: | Englisch |
| Seitenzahl: | 161 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
| Untertitel: | Intersecting Algebra, Geometry, and Combinatorics |
Produktinformationen "Ideals of Powers and Powers of Ideals"
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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