Algebraic Geometry - 1

From Algebraic Varieties to Schemes

Kenji Ueno - Collection Translations of Mathematical Monographs

168 pages, parution le 09/12/1999

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Résumé

"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"
Mathematical Reviews

"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

Kenji Ueno, Kyoto University, Japan

Sommaire

Algebraic varieties
Schemes
Category and scheme
Solutions to problems
Solutions to exercises
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Oxford University Press
Auteur(s)	Kenji Ueno
Collection	Translations of Mathematical Monographs
Parution	09/12/1999
Nb. de pages	168
Couverture	Broché
Intérieur	Noir et Blanc
EAN13	9780821808627
ISBN13	978-0-8218-0862-7