Connections Between Algebra, Combinatorics, and Geometry

  • Susan M. Cooper
  • Sean Sather-Wagstaff
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 76)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Lecture Notes

    1. Front Matter
      Pages 1-1
    2. Kristen A. Beck, Sean Sather-Wagstaff
      Pages 3-99
    3. Enrico Carlini, Nathan Grieve, Luke Oeding
      Pages 101-146
    4. Susan M. Cooper, Brian Harbourne
      Pages 147-187
  3. Research/Survey Papers

    1. Front Matter
      Pages 189-189
    2. Sara Faridi
      Pages 191-207
    3. Christopher A. Francisco, Jeffrey Mermin, Jay Schweig
      Pages 209-234
    4. Zachary A. Griffin, Jonathan D. Hauenstein, Chris Peterson, Andrew J. Sommese
      Pages 235-250
    5. Huy Tài Hà
      Pages 251-276

About these proceedings

Introduction

Commutative algebra, combinatorics, and algebraic geometry are thriving areas of mathematical research with a rich history of interaction. Connections Between Algebra, Combinatorics, and Geometry contains lecture notes, along with exercises and solutions, from the Workshop on Connections Between Algebra and Geometry held at the University of Regina from May 29-June 1, 2012. It also contains research and survey papers from academics invited to participate in the companion Special Session on Interactions Between Algebraic Geometry and Commutative Algebra, which was part of the CMS Summer Meeting at the University of Regina held June 2–3, 2012, and the meeting Further Connections Between Algebra and Geometry, which was held at the North Dakota State University, February 23, 2013. This volume highlights three mini-courses in the areas of commutative algebra and algebraic geometry: differential graded commutative algebra, secant varieties, and fat points and symbolic powers. It will serve as a useful resource for graduate students and researchers who wish to expand their knowledge of commutative algebra, algebraic geometry, combinatorics, and the intricacies of their intersection. 

Keywords

algebraic geometry commutative algebra differential graded algebra fat points resolutions secant varieties

Editors and affiliations

  • Susan M. Cooper
    • 1
  • Sean Sather-Wagstaff
    • 2
  1. 1.Department of MathematicsCentral Michigan UniversityMt. PleasantUSA
  2. 2.Department of MathematicsNorth Dakota State UniversityFargoUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4939-0626-0
  • Copyright Information Springer Science+Business Media New York 2014
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4939-0625-3
  • Online ISBN 978-1-4939-0626-0
  • Series Print ISSN 2194-1009
  • Series Online ISSN 2194-1017
  • About this book