| Description |
1 online resource (xiv, 417 pages) : illustrations |
| Series |
Graduate texts in mathematics ; 227 |
|
Graduate texts in mathematics ; 227.
|
| 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 |
| Summary |
"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 algebras, and determinantal rings. Over 100 figures, 250 exercises, and pointers to the literature make this book appealing to both graduate students and researchers."--Jacket |
| Analysis |
wiskunde |
|
mathematics |
|
algebraic geometry |
|
combinatoriek |
|
combinatorics |
|
algebra |
|
ringen (wiskunde) |
|
rings |
|
Mathematics (General) |
|
Wiskunde (algemeen) |
| Bibliography |
Includes bibliographical references (pages 379-395) and index |
| Notes |
English |
| In |
SpringerLink |
|
OhioLINK electronic book center (Online) |
| Subject |
Commutative algebra.
|
|
Álgebra conmutativa
|
|
Commutative algebra
|
|
Algebra
|
|
Combinatorial analysis
|
|
Geometry, Algebraic
|
| Genre/Form |
Textbooks
|
|
Textbooks.
|
| Form |
Electronic book
|
| Author |
Sturmfels, Bernd, 1962-
|
| ISBN |
0387271031 |
|
9780387271033 |
|
