| 书目名称 | Ideals of Powers and Powers of Ideals |
| 副标题 | Intersecting Algebra |
| 编辑 | Enrico Carlini,Huy Tài Hà,Adam Van Tuyl |
| 视频video | |
| 概述 | First book to contain a summary of known results on the associated primes of edge ideals.First book to contain a summary of known results on the regularity of powers of monomial ideals.Contains open p |
| 丛书名称 | Lecture Notes of the Unione Matematica Italiana |
| 图书封面 |  |
| 描述 | 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... |
| 出版日期 | Book 2020 |
| 关键词 | Associated Primes; Castelnuovo-Mumford Regularity; Containment Problem; Edge and Cover Ideals of Finite |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-45247-6 |
| isbn_softcover | 978-3-030-45246-9 |
| isbn_ebook | 978-3-030-45247-6Series ISSN 1862-9113 Series E-ISSN 1862-9121 |
| issn_series | 1862-9113 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 17:20:41
