(1) Algebraic Varieties in a Projective Space (2) Local Properties (3) Divisors and Differential Forms (4) Intersection Indices (5) Schemes and Varieties (6) Varieties (7) Topology of Algebraic Varieties (8) Complex Analytic Manifolds (9) Uniformization.
Igor Rostislavovich Shafarevich is a Russian mathematician who has contributed to algebraic number theory and algebraic geometry. He has written books and articles that criticize socialism and was an important dissident during the Soviet regime.