Authors:
- 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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Front Matter
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Associated Primes of Powers of Ideals
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Front Matter
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Regularity of Powers of Ideals
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Front Matter
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The Containment Problem
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Front Matter
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Unexpected Hypersurfaces
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Front Matter
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Waring Problems
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Front Matter
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About this book
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
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Department of Mathematical Sciences, Politecnico di Torino, Torino, Italy
Enrico Carlini
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Department of Mathematics, Tulane University, New Orleans, USA
Huy Tài Hà
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Department of Mathematics, University of Nebraska, Lincoln, USA
Brian Harbourne
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Department of Mathematics and Statistics, McMaster University, Hamilton, Canada
Adam Van Tuyl
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