Basic Algebraic Geometry 2: Schemes And Complex... -

: Treating algebraic varieties as differentiable manifolds with specific orientations.

: Unlike more technical texts (e.g., Hartshorne ), Shafarevich keeps the algebraic apparatus to a minimum.

: Modernizes the foundation of algebraic geometry using scheme theory. Key Topics :

is the second volume of Igor Shafarevich’s classic two-part introduction to algebraic geometry. It transitions from the "classical" varieties of Volume 1 into more modern, abstract generalizations. Core Content

: Added in later editions to bridge differential geometry and algebraic geometry.