Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, in the field of algebraic geometry, the idea of abstract variety is to define a concept of algebraic variety in an intrinsic way. This followed the trend in the definition of manifold independent of any ambient space (Hassler Whitney, in the 1930s) by some years, the first notions being those of Oscar Zariski and Andre Weil in the 1940s. It was Weil, in his foundational work, who gave a first acceptable definition of algebraic variety that stood outside projective space.

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