Ezra Miller, Bernd Sturmfels

eBook, PDF

Combinatorial Commutative Algebra (eBook, PDF)

Beschreibung

This book provides an introduction to combinatorial commutative algebra with particular emphasis on combinatorial techniques for multigraded polynomial rings, semigroup algebras, and determined rings. The eighteen chapters cover 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. Contains over 100 figures and 250 exercises.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 4.07MB

Barrierefreiheit

• Text-to-Speech

Autor

Ezra Miller, University of Minnesota, Minneapolis, MN, USA / Bernd Sturmfels, University of California at Berkeley, Berkeley, CA, USA

Produktdetails

• Verlag: Springer New York
• Seitenzahl: 420
• Erscheinungstermin: 13. November 2005
• Englisch
• ISBN-13: 9780387271033
• Artikelnr.: 43728823

Rezensionen

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)