Algebraic Geometry - 1
From Algebraic Varieties to Schemes
"This treatise may serve as a first introduction for any student interested in algebraic geometry in the style of Grothendieck. It provides the basic concepts and definitions, even introducing such notions as localizations, tensor products and inductive projective limits. The material is illustrated by examples and figures, and some exercises provide the option to verify one's progress"
"masterly written text ... a highly welcome addition to the great standard text books on algebraic geometry"
Zentralblatt fur Mathematik
This is the first of three volumes on algebraic geometry. Today, most algebraic geometers are well-versed in the language of schemes, but many newcomers are still initially hesitant about them. Ueno's book provides an inviting introduction to the theory, which should overcome any such impediment to learning this rich subject. The book begins with a description of the standard theory of algebraic varieties. Next, sheaves are introduced and studied, using as few prerequisites as possible, and finally, Ueno describes schemes and their properties. Further properties of schemes will be discussed in the second volume. Ueno's book is a self-contained introduction to this important circle of ideas which assumes only a knowledge of basic notions from abstract algebra (such as prime ideals).
Readership: Undergraduates and first-year graduate students seeking an introduction to algebraic geometry.
L'auteur - Kenji Ueno
Kyoto University, Japan
- Algebraic varieties
- Category and scheme
- Solutions to problems
- Solutions to exercises
|Éditeur(s)||Oxford University Press|
|Collection||Translations of Mathematical Monographs|
|Nb. de pages||168|
|Intérieur||Noir et Blanc|
- Les meilleures ventes en Graphisme & Photo
- Les meilleures ventes en Informatique
- Les meilleures ventes en Construction
- Les meilleures ventes en Entreprise & Droit
- Les meilleures ventes en Sciences
- Les meilleures ventes en Littérature
- Les meilleures ventes en Arts & Loisirs
- Les meilleures ventes en Vie pratique