§"Hartshorne has produced a book ... of which he may be proud and for which we must be grateful. It is destined to become the standard reference for young workers in and students of algebraic geometry. They will be well served. Because algebraic geometry is important for so many fields from partial differential equations through complex analysis to number theory and algebra, this book belongs on every mathematician's shelf. We owe Hartshorne our thanks. " (Bulletin of the American Mathematical Society)