Igor V. Dolgachev is Professor Emeritus at the University of Michigan. He has published over 100 research papers in various areas of algebraic geometry, and is the author of several books, including Lectures on Invariant Theory (2003) and Enriques Surfaces I & II (2025).

'The first edition of this book has become the absolute reference for the treatment of classical algebraic geometry in modern terms. The new edition brings a series of important complements on most chapters, in particular on congruences of lines and quartic surfaces. In total this makes a very rich and complete book on the subject.' Arnaud Beauville, Professeur émérite, Université Côte d'Azur

• Preface; Preface to the Second Edition; 1. Polarity; 2. Conics and Quadric Surfaces; 3. Plane Cubics; 4. Determinantal Varieties; 5. Theta Characteristics; 6. Plane Quartics; 7. Cremona Transformations.

Igor V. Dolgachev is Professor Emeritus at the University of Michigan. He has published over 100 research papers in various areas of algebraic geometry, and is the author of several books, including Lectures on Invariant Theory (2003) and Enriques Surfaces I & II (2025).

'The first edition of this book has become the absolute reference for the treatment of classical algebraic geometry in modern terms. The new edition brings a series of important complements on most chapters, in particular on congruences of lines and quartic surfaces. In total this makes a very rich and complete book on the subject.' Arnaud Beauville, Professeur émérite, Université Côte d'Azur

• Preface; Preface to the Second Edition; 1. Polarity; 2. Conics and Quadric Surfaces; 3. Plane Cubics; 4. Determinantal Varieties; 5. Theta Characteristics; 6. Plane Quartics; 7. Cremona Transformations.