基本説明
Features: Fills the gab between books on classical algebraic geometry and full-blown accounts of the theory of schemes; Explicit calculations show how scheme theory is utilized in practice: Doscusses applications to number theory, physics, and applied mathematics.
Full Description
Grothendieck's beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.
Contents
Basic Definitions.- Examples.- Projective Schemes.- Classical Constructions.- Local Constructions.- Schemes and Functors.
