The Geometry of Syzygies

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Focusing on the interplay between algebraic geometry and concrete examples, this textbook introduces syzygies as a crucial tool for exploring various geometric problems, from interpolation to canonical curves. Designed for graduate students and self-learners with a background in commutative algebra, it offers clear explanations and practical applications. The appendices enhance understanding by summarizing local cohomology and relevant commutative algebra concepts, making complex topics more accessible and connected.