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Introduction to Algebraic Geometry is a comprehensive textbook written by Serge Lang that explores the fundamental concepts of algebraic geometry. The book is part of the Interscience Tracts in Pure and Applied Mathematics series and is the fifth volume in the series. The book is divided into three parts the first part provides an introduction to the basic concepts of algebraic geometry, including algebraic sets, varieties, and morphisms. The second part delves deeper into the theory of algebraic curves, covering topics such as intersection theory, Riemann-Roch theorem, and Abel's theorem. The third part covers the theory of algebraic surfaces, including the classification of surfaces, the Hodge index theorem, and the Enriques-Kodaira classification. Throughout the book, Lang emphasizes the importance of understanding the geometric intuition behind the algebraic concepts. The book is written in a clear and concise manner, making it accessible to both graduate students and researchers i
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