Volume 260 2011

Monomial Ideals

Authors:

ISBN: 978-0-85729-105-9 (Print) 978-0-85729-106-6 (Online)

Table of contents (12 chapters)

  1. Front Matter

    Pages I-XVI

  2. Gröbner bases

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-22

      Monomial Ideals

    3. No Access

      Book Chapter

      Pages 23-40

      A short introduction to Gröbner bases

    4. No Access

      Book Chapter

      Pages 41-50

      Monomial orders and weights

    5. No Access

      Book Chapter

      Pages 51-74

      Generic initial ideals

    6. No Access

      Book Chapter

      Pages 75-93

      The exterior algebra

  3. Hilbert functions and resolutions

    1. Front Matter

      Pages 95-95

    2. No Access

      Book Chapter

      Pages 97-113

      Hilbert functions and the theorems of Macaulay and Kruskal–Katona

    3. No Access

      Book Chapter

      Pages 115-128

      Resolutions of monomial ideals and the Eliahou–Kervaire formula

    4. No Access

      Book Chapter

      Pages 129-149

      Alexander duality and resolutions

  4. Combinatorics

    1. Front Matter

      Pages 151-151

    2. No Access

      Book Chapter

      Pages 153-182

      Alexander duality and finite graphs

    3. No Access

      Book Chapter

      Pages 183-210

      Powers of monomial ideals

    4. No Access

      Book Chapter

      Pages 211-236

      Shifting theory

    5. No Access

      Book Chapter

      Pages 237-261

      Discrete Polymatroids

  5. Back Matter

    Pages 263-305