This volume dives into the core ideas of projective geometry, curves and surfaces, and the transformations that connect them. It presents key concepts like linear systems, canonical series, and invariants, with a focus on how these tools reveal the structure of geometric objects. Expect precise statements, worked examples, and historical references that illuminate the development of the subject.

Foundations of birational transformations and their impact on plane and space curves
How invariants, adjoint systems, and canonical parts organize complex surfaces
Pencils, rulings, and the geometry of curves on surfaces in higher-dimensional space
Connections to classical results and notable theorems in algebraic geometry

Ideal for readers with a strong interest in higher geometry, this edition supports study, reference, and deeper exploration of the subject.

"About this title" may belong to another edition of this title.

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