This volume explores how curves behave in space and how algebraic methods describe their shapes, using clear, rigorous reasoning to connect geometry with functions and surfaces.

This edition surveys key ideas in the theory of curves, including manifolds, Riemann surfaces, and the interplay between algebraic functions and geometry. It highlights tools like loops for periods, adjoint curves, and canonical forms, showing how complex structures arise from fundamental principles.

Periods of algebraic integrals and their geometric meaning
Riemann-surface representations for multi-valued functions
Canonical forms, adjoint curves, and sections of linear series
Methods such as loops and modular theory in algebraic geometry

Ideal for readers of advanced mathematics, researchers in geometry, and students pursuing a deeper understanding of curves and their spaces.

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

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