Overview

Recent developments are covered Contains over 100 figures and 250 exercises Includes complete proofs

Full Product Details

Author:   Ezra Miller ,  Bernd Sturmfels
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2005 ed.
Volume:   227
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   1.340kg
ISBN:  

9780387237077

ISBN 10:   0387237070
Pages:   420
Publication Date:   21 June 2005
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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.

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)

"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)"

From the reviews: <p> The book under review constitutes a self-contained introduction to the use of combinatorial methods in commutative algebra. a ] 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)

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