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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 algebra...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2005.
|
| Edición: | 1st ed. 2005. |
| Colección: | Graduate Texts in Mathematics,
227 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Monomial Ideals
- Squarefree monomial ideals
- Borel-fixed monomial ideals
- Three-dimensional staircases
- Cellular resolutions
- Alexander duality
- Generic monomial ideals
- Toric Algebra
- Semigroup rings
- Multigraded polynomial rings
- Syzygies of lattice ideals
- Toric varieties
- Irreducible and injective resolutions
- Ehrhart polynomials
- Local cohomology
- Determinants
- Plücker coordinates
- Matrix Schubert varieties
- Antidiagonal initial ideals
- Minors in matrix products
- Hilbert schemes of points.