Algebraic geometry and commutative algebra / Siegfried Bosch.
2013
QA564 .B67 2013
Linked e-resources
Linked Resource
Online Access
Concurrent users
Unlimited
Authorized users
Authorized users
Document Delivery Supplied
Can lend chapters, not whole ebooks
Details
Title
Algebraic geometry and commutative algebra / Siegfried Bosch.
Author
Bosch, S. (Siegfried), 1944-
ISBN
1447148290 (electronic bk.)
9781447148296 (electronic bk.)
1447148282
9781447148289
9781447148289 (pbk.)
9781447175230 (electronic bk.)
1447175239 (electronic bk.)
9781447148296 (electronic bk.)
1447148282
9781447148289
9781447148289 (pbk.)
9781447175230 (electronic bk.)
1447175239 (electronic bk.)
Publication Details
London ; New York : Springer, ©2013.
Language
English
Description
1 online resource (x, 504 pages)
Item Number
10.1007/978-1-4471-4829-6. doi
Call Number
QA564 .B67 2013
Dewey Decimal Classification
516.35
Summary
Algebraic geometry is a fascinating branch of mathematics that combines methods from both algebra and geometry. It transcends the limited scope of pure algebra by means of geometric construction principles. Moreover, Grothendieck's schemes invented in the late 1950s allowed the application of algebraic-geometric methods in fields that formerly seemed to be far away from geometry (algebraic number theory, for example). The new techniques paved the way to spectacular progress such as the proof of Fermat's Last Theorem by Wiles and Taylor. The scheme-theoretic approach to algebraic geometry is explained for non-experts whilst more advanced readers can use the book to broaden their view on the subject. A separate part studies the necessary prerequisites from commutative algebra. The book provides an accessible and self-contained introduction to algebraic geometry, up to an advanced level. Every chapter of the book is preceded by a motivating introduction with an informal discussion of the contents. Typical examples and an abundance of exercises illustrate each section. Therefore the book is an excellent solution for learning by yourself or for complementing knowledge that is already present. It can equally be used as a convenient source for courses and seminars or as supplemental literature.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Digital File Characteristics
text file
PDF
Source of Description
Description based on print version record.
Series
Universitext.
Available in Other Form
Algebraic geometry and commutative algebra.
Linked Resources
Online Access
Record Appears in
Online Resources > Ebooks
All Resources
All Resources
Table of Contents
Part 1. Commutative Algebra
Rings and Modules
The Theory of Noetherian Rings
Integral Extensions
Extension of Coefficients and Descent
Homological Methods: Ext and Tor
Part 2. Algebraic Geometry
Affine Schemes and Basic Constructions
Techniques of Global Schemes
Étale and Smooth Morphisms
Projective Schemes and Proper Morphisms.
Rings and Modules
The Theory of Noetherian Rings
Integral Extensions
Extension of Coefficients and Descent
Homological Methods: Ext and Tor
Part 2. Algebraic Geometry
Affine Schemes and Basic Constructions
Techniques of Global Schemes
Étale and Smooth Morphisms
Projective Schemes and Proper Morphisms.