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Science/Engineering Combinatorial Commutative Algebra

Posted on 2010-03-15




Name:Science/Engineering Combinatorial Commutative Algebra
ASIN/ISBN:0387237070
Language:English
File size:2.2 Mb
Publish Date: 2005-06-21
ISBN: 0387237070
Pages: 420 pages
File Type: PDF
File Size: 2,2 MB
Other Info: Springer
   Science/Engineering Combinatorial Commutative Algebra

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Ezra Miller, Bernd Sturmfels "Combinatorial Commutative Algebra"

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.

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