| Combinatorial Commutative Algebra 2005 Edition Contributor(s): Miller, Ezra (Author), Sturmfels, Bernd (Author) |
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ISBN: 0387223568 ISBN-13: 9780387223568 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: December 2004 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Abstract - Mathematics | Geometry - Algebraic - Mathematics | Algebra - General |
| Dewey: 512.44 |
| LCCN: 2004052495 |
| Series: Graduate Texts in Mathematics |
| Physical Information: 0.98" H x 6.5" W x 9.54" (1.61 lbs) 420 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |
