In this chapter we give an introduction to the study of algebraic surfaces. This includes the basic facts about the geometry on a surface, and about birational transformations of surfaces. Also we treat two special classes of surfaces, the ruled surfaces, and the nonsingular cubic surfaces in P3, both to illustrate the general theory, and as a first step in the more detailed study of various types of surfaces.
KeywordsEffective Divisor Ample Divisor Irreducible Curve Arithmetic Genus Versus Surface
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