Classification of Complex Algebraic Surfaces
نویسنده
چکیده
In this note we present the classical Enriques’ classification theorem for complex algebraic surfaces. We’ll recall basic facts about the theory of complex surfaces (structure theorems for birational maps), and discuss (using a modern (=Mori) approach) some important results like the Castelnuovo’s rationality criterion and the classification of minimal ruled surfaces. Finally, after the description of some fundamental examples (K3, Enriques surfaces, bi-elliptic,...), we’ll sketch the proof of the Enriques’ classification theorem.
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