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Combinatorial Commutative Algebra

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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.

Author(s): Ezra Miller; Bernd Sturmfels
Series: Graduate Texts in Mathematics
Edition: 2
Publisher: Springer
Year: 2004

Language: English
Pages: 420