Overview
- 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 problems for graduate students
- With a chapter for early career researchers on "how to do mathematics research"
- Provides an up-to-date and comprehensive list of references of papers in the area
- Written by authors who have made numerous contributions to these areas
- First book to introduce the ideal containment problem (e.g. Waldschmidt contstant resurgence symbolic defect)
Part of the book series: Lecture Notes of the Unione Matematica Italiana (UMILN, volume 27)
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Table of contents (20 chapters)
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Associated Primes of Powers of Ideals
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Regularity of Powers of Ideals
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The Containment Problem
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Unexpected Hypersurfaces
Reviews
“This is a very interesting monograph providing a fast introduction to different fields of research devoted to modern aspects and develompents of commutative algebra, algebraic geometry, combinatorics, etc.” (Piotr Pokora, zbMATH 1445.13001, 2020)
Authors and Affiliations
Bibliographic Information
Book Title: Ideals of Powers and Powers of Ideals
Book Subtitle: Intersecting Algebra, Geometry, and Combinatorics
Authors: Enrico Carlini, Huy Tài Hà, Brian Harbourne, Adam Van Tuyl
Series Title: Lecture Notes of the Unione Matematica Italiana
DOI: https://doi.org/10.1007/978-3-030-45247-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Softcover ISBN: 978-3-030-45246-9Published: 22 May 2020
eBook ISBN: 978-3-030-45247-6Published: 21 May 2020
Series ISSN: 1862-9113
Series E-ISSN: 1862-9121
Edition Number: 1
Number of Pages: XIX, 161
Number of Illustrations: 21 b/w illustrations
Topics: Algebraic Geometry, Commutative Rings and Algebras, Number Theory