Graded Syzygies

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The study of free resolutions is a core and beautiful area in Commutative Algebra. The main goal of this book is to inspire the readers and develop their intuit

The Geometry of Syzygies

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First textbook-level account of basic examples and techniques in this area. Suitable for self-study by a reader who knows a little commutative algebra and algeb

Syzygies

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This 1985 book covers from first principles the theory of Syzygies.

Syzygies and Hilbert Functions

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Hilbert functions and resolutions are both central objects in commutative algebra and fruitful tools in the fields of algebraic geometry, combinatorics, commuta

Using Algebraic Geometry

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An illustration of the many uses of algebraic geometry, highlighting the more recent applications of Groebner bases and resultants. Along the way, the authors p