Overview
- Presents four lectures by leading experts
- Provides an in-depth exploration of recent advances
- Includes extensive background and references
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2283)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (4 chapters)
Keywords
- Adams operations
- Buchberger algorithm
- Buchsbau-Rim complex
- Castelnuovo-Mumford regularity
- Cohen-Macaulay rings
- Defining Equations
- Eagon-Northcott complex
- Green's conjecture
- Gröbner bases
- Gröbner degenerations
- Grothendieck group
- Hermite reciprocity
- intersection multiplicities
- Koszul complex
- Koszul modules
- Lambda operations
- Matrix factorizations
- Rees Rings
- Syzygies and Resolutions
- Total Rank conjecture
About this book
This book presents four lectures on Rees rings and blow-ups, Koszul modules with applications to syzygies, Gröbner bases and degenerations, and applications of Adams operations.
Commutative Algebra has witnessed a number of spectacular developments in recent years, including the resolution of long-standing problems; the new techniques and perspectives are leading to an extraordinary transformation in the field.
The material contained in this volume, based on lectures given at a workshop held in Levico Terme, Trento, in July 2019, highlights some of these developments. The text will be a valuable asset to graduate students and researchers in commutative algebra and related fields.
Authors, Editors and Affiliations
Bibliographic Information
Book Title: Recent Developments in Commutative Algebra
Book Subtitle: Levico Terme, Trento 2019
Authors: Claudia Polini, Claudiu Raicu, Matteo Varbaro, Mark E. Walker
Editors: Aldo Conca, Srikanth B. Iyengar, Anurag K. Singh
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-030-65064-3
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 2021
Softcover ISBN: 978-3-030-65063-6Published: 03 March 2021
eBook ISBN: 978-3-030-65064-3Published: 02 March 2021
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XI, 118
Number of Illustrations: 16 b/w illustrations, 1 illustrations in colour