Combinatorial Commutative Algebra by Ezra MillerCombinatorial Commutative Algebra by Ezra Miller

Combinatorial Commutative Algebra

byEzra Miller, Bernd Sturmfels

Paperback | June 21, 2005

Pricing and Purchase Info


Earn 409 plum® points

Prices and offers may vary in store


In stock online

Ships free on orders over $25

Not available in stores


Recent developments are covered Contains over 100 figures and 250 exercisesIncludes complete proofs
Title:Combinatorial Commutative AlgebraFormat:PaperbackDimensions:434 pagesPublished:June 21, 2005Publisher:Springer New YorkLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0387237070

ISBN - 13:9780387237077

Look for similar items by category:


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.

Editorial Reviews

From the reviews:"The book under review constitutes a self-contained introduction to the use of combinatorial methods in commutative algebra. . Concrete calculations and examples are used to introduce and develop concepts. Numerous exercises provide the opportunity to work through the material and end of chapter notes comment on the history and development of the subject. The authors have provided us with a useful reference and an effective text book." (R. J. Shank, Zentralblatt MATH, Vol. 1090 (16), 2006)