Algebraic geometry and commutative algebra / Siegfried Bosch.
Bosch, S. (Siegfried), 1944-
2013
QA564 .B67 2013
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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.)
DOI https://doi.org/10.1007/978-1-4471-4829-6.
Imprint London ; New York : Springer, ©2013.
Language English
Description 1 online resource (x, 504 pages)
Other Standard Identifiers 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.
In Springer eBooks
Available in Other Form Algebraic geometry and commutative algebra.
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Record Appears in Online Resources > Ebooks
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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.

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