Combinatorial Commutative Algebra

Authors:

ISBN: 978-0-387-22356-8 (Print) 978-0-387-27103-3 (Online)

Table of contents (18 chapters)

  1. Monomial Ideals

    1. No Access

      Book Chapter

      Pages 3-20

      Squarefree monomial ideals

    2. No Access

      Book Chapter

      Pages 21-40

      Borel-fixed monomial ideals

    3. No Access

      Book Chapter

      Pages 41-60

      Three-dimensional staircases

    4. No Access

      Book Chapter

      Pages 61-80

      Cellular resolutions

    5. No Access

      Book Chapter

      Pages 81-106

      Alexander duality

    6. No Access

      Book Chapter

      Pages 107-126

      Generic monomial ideals

  2. Toric Algebra

    1. No Access

      Book Chapter

      Pages 129-148

      Semigroup rings

    2. No Access

      Book Chapter

      Pages 149-172

      Multigraded polynomial rings

    3. No Access

      Book Chapter

      Pages 173-190

      Syzygies of lattice ideals

    4. No Access

      Book Chapter

      Pages 191-208

      Toric varieties

    5. No Access

      Book Chapter

      Pages 209-228

      Irreducible and injective resolutions

    6. No Access

      Book Chapter

      Pages 229-246

      Ehrhart polynomials

    7. No Access

      Book Chapter

      Pages 247-270

      Local cohomology

  3. Determinants

    1. No Access

      Book Chapter

      Pages 273-288

      Plücker coordinates

    2. No Access

      Book Chapter

      Pages 289-310

      Matrix Schubert varieties

    3. No Access

      Book Chapter

      Pages 311-330

      Antidiagonal initial ideals

    4. No Access

      Book Chapter

      Pages 331-353

      Minors in matrix products

    5. No Access

      Book Chapter

      Pages 355-378

      Hilbert schemes of points