This document provides an overview and preface for a book on algebraic geometry over the complex numbers. It begins by introducing algebraic geometry and noting that when the field is the complex numbers, algebraic and transcendental techniques can be used. The book is intended as a guide through the subject, balancing rigor and intuition. It includes topics from sheaf theory, algebraic and complex manifolds, De Rham cohomology, Hodge theory, and the computation of Hodge numbers for varieties. The preface concludes by thanking reviewers and noting how readers can find updates on the accompanying website.
This document provides an overview and preface for a book on algebraic geometry over the complex numbers. It begins by introducing algebraic geometry and noting that when the field is the complex numbers, algebraic and transcendental techniques can be used. The book is intended as a guide through the subject, balancing rigor and intuition. It includes topics from sheaf theory, algebraic and complex manifolds, De Rham cohomology, Hodge theory, and the computation of Hodge numbers for varieties. The preface concludes by thanking reviewers and noting how readers can find updates on the accompanying website.
