From the reviews: "A comprehensive account of the deepest results of the geometry of algebraic curves that were obtained in the second half of the 20th century using some of the more advanced techniques of abstract algebraic geometry ... . at the end of every chapter there bibliographical notes that guide the reader to the original literature and further developments and sets of exercises that complement the theory ... . an immediate standard reference for researchers and students working on the geometry of algebraic curves ... ." (Felipe Zaldivar, The Mathematical Association of America, July, 2011)

• Preliminaries.- Determinantal Varieties.- to Special Divisors.- The Varieties of Special Linear Series on a Curve.- The Basic Results of the Brill-Noether Theory.- The Geometric Theory of Riemann’s Theta Function.- The Existence and Connectedness Theorems for W d r (C).- Enumerative Geometry of Curves.

From the reviews: "A comprehensive account of the deepest results of the geometry of algebraic curves that were obtained in the second half of the 20th century using some of the more advanced techniques of abstract algebraic geometry ... . at the end of every chapter there bibliographical notes that guide the reader to the original literature and further developments and sets of exercises that complement the theory ... . an immediate standard reference for researchers and students working on the geometry of algebraic curves ... ." (Felipe Zaldivar, The Mathematical Association of America, July, 2011)

• Preliminaries.- Determinantal Varieties.- to Special Divisors.- The Varieties of Special Linear Series on a Curve.- The Basic Results of the Brill-Noether Theory.- The Geometric Theory of Riemann’s Theta Function.- The Existence and Connectedness Theorems for W d r (C).- Enumerative Geometry of Curves.