0387223568 (alk. paper)
IR
EN-53431
انگلیسی
IR
Combinatorial commutative algebra
[Book]
/ Ezra Miller, Bernd Sturmfels
New York
: Springer,
, c2005.
xiv, 417 p. , ill. , 25 cm.
(Graduate texts in mathematics
; 227)
Electronic
Includes bibliographical references (p. 379-395) and index.
"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."--BOOK JACKET.
I. Monomial ideals -- 1. Squarefree monomial ideals -- 2. Borel-fixed monomial ideals -- 3. Three-dimensional staircases -- 4. Cellular resolutions -- 5. Alexander duality -- 6. Generic monomial ideals -- II. Toric algebra -- 7. Semigroup rings -- 8. Multigraded polynomial rings -- 9. Syzgies of lattice ideals -- 10. Toric varieties -- 11. Irreducible and injective resolutions -- 12. Ehrhart polynomials -- 13. Local cohomology -- III. Determinants -- 14. Plucker coordinates -- 15. Matrix Schubert varieties -- 16. Antidiagonal initial ideals -- 17. Minors in matrix products -- 18. Hilbert schemes of points.
Commutative algebra
E-BOOK
Miller, Ezra, 1974-
Sturmfels, Bernd, 1962-
ایران
0387237070.pdf
عادی
عادی
0387237070.pdf
متن
old catalog
e
BL
1
a
Y
