From the Book - 2nd expanded ed.
2. Irreducible algebraic sets
3. Definition of a morphism
4. Sheaves and affine varieties
5. Definition of prevarieties and morphisms
6. Products and the Hausdorff Axiom
8. The fibres of a morphism
2. The category of preschemes
3. Varieties and preschemes
6. The functor of points of a prescheme
7. Proper morphisms and finite morphisms
III. Local Properties of Schemes
1. Quasi-coherent modules
4. Non-singularity and differentials
6. Uniformizing parameters
7. Non-singularity and the UFD property
8. Normal varieties and normalization
9. Zariski's Main Theorem
10. Flat and smooth morphisms
App. Curves and Their Jacobians
Lecture I. What is a Curve and How Explicitly Can We Describe Them?
Lecture II. The Moduli Space of Curves: Definition, Coordinatization, and Some Properties
Lecture III. How Jacobians and Theta Functions Arise
Lecture IV. The Torelli Theorem and the Schottky Problem
Survey of Work on the Schottky Problem up to 1996 / Enrico Arbarello
References: The Red Book of Varieties and Schemes
Guide to the Literature and References: Curves and Their Jacobians
Supplementary Bibliography on the Schottky Problem / Enrico Arbarello.
