Algebraic Geometry I

Algebraic Curves, Algebraic Manifolds and Schemes
1994
ISBN: 978-3-540-51995-9
Verlag: Springer

Buch, Englisch, Band 23, 310 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1390 g

Reihe: Encyclopaedia of Mathematical Sciences

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

Zielgruppe

Research

Autoren/Hrsg.

Danilov, V.I.

Shokurov, V.V.

Shafarevich, I.

Weitere Mitwirkende

Coray, D.

Shokurov, V.N.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung

Inhaltsverzeichnis

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.