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Syzygies and Hilbert Functions is written by Irena Peeva and published by CRC Press. It's available with International Standard Book Number or ISBN identification 1420050915 (ISBN 10) and 9781420050912 (ISBN 13).
Hilbert functions and resolutions are both central objects in commutative algebra and fruitful tools in the fields of algebraic geometry, combinatorics, commutative algebra, and computational algebra. Spurred by recent research in this area, Syzygies and Hilbert Functions explores fresh developments in the field as well as fundamental concepts.