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Combinatorial Commutative Algebra

Ezra Miller, Bernd Sturmfels
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.
Autor: Miller, Ezra Sturmfels, Bernd
EAN: 9780387237077
Sprache: Englisch
Seitenzahl: 420
Produktart: kartoniert, broschiert
Verlag: Springer Springer, Berlin Springer New York
Schlagworte: Kommutative Algebra
Größe: 21 × 157 × 236
Gewicht: 694 g