Abstract
This chapter is devoted entirely to basic concepts of algebraic geometry. The point of view adopted is that an algebraic variety is a topological space, equipped with a superstructure of functions. Section 1 introduces pre-varieties, a preliminary notion slightly more general than that of a variety, which is convenient for developing the basic technical results concerning varieties. Section 2 is devoted to products of prevarieties and the notion of a variety.KeywordsOpen SubsetClosed SubsetIrreducible ComponentProjective VarietyHomogeneous ElementThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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