An Invitation to Algebraic Geometry

1. Auflage 2000. Corr. 2. printing. Softcover version of original hardcover Auflage 2000
ISBN: 978-1-4419-3195-5
Verlag: Springer

Buch, Englisch, 164 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 289 g

Reihe: Universitext

The aim of this book is to describe the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.

Zielgruppe

Graduate

Autoren/Hrsg.

Smith, Karen E.

Kahanpää, Lauri

Kekäläinen, Pekka

Traves, William

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

1 Affine Algebraic Varieties.- 2 Algebraic Foundations.- 3 Projective Varieties.- 4 Quasi-Projective Varieties.- 5 Classical Constructions.- 6 Smoothness.- 7 Birational Geometry.- 8 Maps to Projective Space.- A Sheaves and Abstract Algebraic Varieties.- A.1 Sheaves.- A.2 Abstract Algebraic Varieties.- References.