Algebraic Geometry and Commutative Algebra

• Κύριος συγγραφέας: Bosch, Siegfried (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London : Imprint: Springer, 2013.
• Σειρά: Universitext,
• Θέματα: Mathematics.; Algebraic geometry.; Commutative algebra.; Commutative rings.; Algebraic Geometry.; Commutative Rings and Algebras.

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 algebr...

Πίνακας περιεχομένων:

• 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.