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Recent Developments in Commutative Algebra

Levico Terme, Trento 2019

  • Book
  • © 2021

Overview

Authors:
  1. Claudia Polini

    1. Department of Mathematics, University of Notre Dame, Notre Dame, USA

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  2. Claudiu Raicu

    1. Department of Mathematics, University of Notre Dame, Notre Dame, USA

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  3. Matteo Varbaro

    1. Dipartimento di Matematica, Università di Genova, Genova, Italy

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  4. Mark E. Walker

    1. Department of Mathematics, University of Nebraska–Lincoln, Lincoln, USA

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Editors:
  1. Aldo Conca

    1. Dipartimento di Matematica, Università di Genova, Genova, Italy

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  2. Srikanth B. Iyengar

    1. Department of Mathematics, University of Utah, Salt Lake City, USA

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  3. Anurag K. Singh

    1. Department of Mathematics, University of Utah, Salt Lake City, USA

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  • 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)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Defining Equations of Blowup Algebras

    • Claudia Polini
    Pages 1-31

  3. Koszul Modules

    • Claudiu Raicu
    Pages 33-57

  4. Gröbner Degenerations

    • Matteo Varbaro
    Pages 59-80

  5. Adams Operations in Commutative Algebra

    • Mark E. Walker
    Pages 81-116

  6. Back Matter

    Pages 117-118
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Keywords

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

  • Dipartimento di Matematica, Università di Genova, Genova, Italy

    Aldo Conca, Matteo Varbaro

  • Department of Mathematics, University of Utah, Salt Lake City, USA

    Srikanth B. Iyengar, Anurag K. Singh

  • Department of Mathematics, University of Notre Dame, Notre Dame, USA

    Claudia Polini, Claudiu Raicu

  • Department of Mathematics, University of Nebraska–Lincoln, Lincoln, USA

    Mark E. Walker

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

  • Topics: Commutative Rings and Algebras, Algebraic Geometry

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