Algebraic Geometry I

The book is an introduction to algebraic geometry accessible for students.

The traditionally difficult field of algebraic geometry is covered in a readable and pedagogically excellent way by this introductory book.

Klappentext

"... To sum up, this book helps to learn algebraic geometry in a short time, its concrete style is enjoyable for students and reveals the beauty of mathematics." --Acta Scientiarum Mathematicarum

Zusammenfassung
From the reviews: "This volume... consists of two papers. The first, written by V.V. Shokurov, is devoted to the theory of Riemann surfaces and algebraic curves. It is an excellent overview of the theory of relations between Riemann surfaces and their models - complex algebraic curves in complex projective spaces. ... The second paper, written by V.I. Danilov, discusses algebraic varieties and schemes. ... I can recommend the book as a very good introduction to the basic algebraic geometry." European Mathematical Society Newsletter, 1996 "... To sum up, this book helps to learn algebraic geometry in a short time, its concrete style is enjoyable for students and reveals the beauty of mathematics." Acta Scientiarum Mathematicarum

Inhalt
I. Riemann Surfaces and Algebraic Curves.- 1. Riemann Surfaces.- 2. Algebraic Curves.- 3. Jacobians and Abelian Varieties.- II. Algebraic Varieties and Schemes.- 1. Algebraic Varieties: Basic Notions.- 2. Algebraic Varieties: Fundamental Properties.- 3. Geometry on an Algebraic Variety.- 4. Schemes.- References.- References.