Combinatorial commutative algebra
"Combinatorial commutative algebra is an active area of research with thriving connections to other fields of pure and applied mathematics. This book provides a self-contained introduction to the subject, with an emphasis on combinatorial techniques for multigraded polynomial rings, semigroup a...
| Main Author: | Miller, Ezra, 1974- |
|---|---|
| Other Authors: | Sturmfels, Bernd, 1962-, SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
New York :
Springer,
©2005.
New York : [2005] |
| Physical Description: |
1 online resource (xiv, 417 pages) : illustrations. |
| Series: |
Graduate texts in mathematics ;
227. |
| Subjects: |
Table of Contents:
- Squarefree monomial ideals
- Borel-fixed monomial ideals
- Three-dimensional staircases
- Cellular resolutions
- Alexander duality
- Generic monomial ideals
- Semigroup algebras
- Multigraded polynomial rings
- Syzygies of lattice ideals
- Toric varieties
- Irreducible and injective resolutions
- Ehrhart polynomials
- Local cohomology
- Plücker coordinates
- Matrix Schubert varieties
- Antidiagonal initial ideals
- Minors in matrix products
- Hilbert schemes of points
- Bibliography
- Glossary of notation.