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	Nicht verfügbar
ISBN 13	9780387223568
ISBN 10	0387223568
Titel	Combinatorial Commutative Algebra
Autor	Ezra Miller
Serie	Graduate Texts In Mathematics
Buchzustand	Nicht verfügbar
Verlag	Springer-Verlag New York Inc.
Erscheinungsjahr	2004-12-21
Seitenanzahl	420
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar