Algebraic Geometry I Schemes With Examples and Exercises /

• Κύριοι συγγραφείς: Görtz, Ulrich (Συγγραφέας), Wedhorn, Torsten (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Wiesbaden : Vieweg+Teubner, 2010.
• Θέματα: Mathematics.; Algebra.; Algebraic geometry.; Algebraic Geometry.

This book introduces the reader to modern algebraic geometry. It presents Grothendieck's technically demanding language of schemes that is the basis of the most important developments in the last fifty years within this area. A systematic treatment and motivation of the theory is emphasized, us...

Πίνακας περιεχομένων:

• Prevarieties
• Spectrum of a Ring
• Schemes
• Fiber products
• Schemes over fields
• Local Properties of Schemes
• Quasi-coherent modules
• Representable Functors
• Separated morphisms
• Finiteness Conditions
• Vector bundles
• Affine and proper morphisms
• Projective morphisms
• Flat morphisms and dimension
• One-dimensional schemes
• Examples.