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Introduction.- I. Special Chapters of Projective Geometry (Projective Varieties, Zak Map, Quasi-homogeneous Singularities, Cohomological Dimension, Connectedness).- II. Formal Functions in Algebraic Geometry (Basics, Lefschetz Theory, Meromorphic Functions, Connectedness, Homogeneous Spaces, Quasi-lines on Projective Manifolds).- Bibliography.- Notation.- Index