Combinatorial Commutative Algebra by Ezra Miller

Combinatorial Commutative Algebra by Ezra Miller

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. The eighteen chapters cover a broad spectrum of topics, ranging from homological invariants of monomial ideals and their polyhedral resolutions, to hands-on tools for studying algebraic varieties with group actions, such as toric varieties, flag varieties, quiver loci, and Hilbert schemes. Over 100 figures, 250 exercises, and pointers to the literature make this book appealing to both graduate students and researchers.

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)

SKU	Non disponible
ISBN 13	9780387223568
ISBN 10	0387223568
Titre	Combinatorial Commutative Algebra
Auteur	Ezra Miller
Série	Graduate Texts In Mathematics
État	Non disponible
Éditeur	Springer-Verlag New York Inc.
Année de publication	2004-12-21
Nombre de pages	420
Note de couverture	La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note	Non disponible