Algebraic Geometry and Commutative Algebra

• Main Author: Bosch, Siegfried. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: London : Springer London : Imprint: Springer, 2013.
• Series: Universitext,
• Subjects: Mathematics.; Geometry, algebraic.; Algebra.; Algebraic Geometry.; Commutative Rings and Algebras.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4471-4829-6

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, Grothendiecks schemes invented in the late 1950s allowed the application of algebr...

Table of Contents:

• Rings and Modules
• The Theory of Noetherian Rings
• Integral Extensions
• Extension of Coefficients and Descent
• Homological Methods: Ext and Tor
• Affine Schemes and Basic Constructions
• Techniques of Global Schemes
• Etale and Smooth Morphisms
• Projective Schemes and Proper Morphisms.