Algebraic Geometry I: Algebraic Curves, Algebraic Manifolds and Schemes

by V.I. Danilov, I. Shafarevich (Editor), D. Coray (Translator), V.V. Shokurov, V.N. Shokurov (Translator)

Overview

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

Product Details

ISBN-13:	9783540637059
Publisher:	Springer Berlin Heidelberg
Publication date:	03/17/1998
Series:	Encyclopedia of Mathematical Science
Edition description:	Softcover reprint of the original 1st ed. 1994
Pages:	310
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

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.

Editorial Reviews

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

From the Publisher