A third general principle was that this volume should be stir-contained.In particular any "hard" result that would be utilized should be fullyproved. A difficulty a student often faces in a subject as diverse as algebraic geometry is the profusion of cross-references， and this is one reason for attempting to be self-contained. Similarly， we have attempted to avoid allusions to， or statements without proofs of， related results. This book is in no way meant to be a survey of algebraic geometry， but rather is designed to develop a working facility with specific geometric questions.Our approach to the subject is initially analytic： Chapters 0 and 1 treat the basic techniques and results of complex manifold theory， with some emphasis on results applicable to projective varieties. Beginning in Chapter 2 with the theory of Riemann surfaces and algebraic curves， and continu-ing in Chapters 4 and 6 on algebraic surfaces and the quadric line complex， our treatment becomes increasingly geometric along classicallines. Chapters 3 and 5 continue the analytic approach， progressing to more special topics in complex manifolds.
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