ENGLISH

Combinatorial Commutative Algebra

By Bernd Sturmfels , Ezra Miller

Book information

Publisher
Springer
Year
2005
ISBN
0387237070, 9780387237077, 9780387223568, 0387223568
Language
english
Format
PDF
Filesize
2 MB (2529060 bytes)
Series
Graduate texts in mathematics 227
Edition
1
Pages
429\429
Topic
Mathematics Algebra
Library
Kolxo3
Time added
2009-07-20 03:45:11

Description

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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