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Schemes

In: Basic Algebraic Geometry 2

Author

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  • Igor R. Shafarevich

    (Steklov Mathematical Institute)

Abstract

In this chapter, we return to the starting point of all our study — the notion of algebraic variety — and attempt to look at it from a more general and invariant point of view. On the one hand, this leads to new ideas and methods that turn out to be exceptionally fertile even for the study of the quasiprojective varieties we have worked with up to now. On the other, we arrive in this way at a generalisation of this notion that vastly extends the range of application of algebraic geometry.

Suggested Citation

  • Igor R. Shafarevich, 1994. "Schemes," Springer Books, in: Basic Algebraic Geometry 2, edition 0, chapter 0, pages 3-48, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-57956-1_1
    DOI: 10.1007/978-3-642-57956-1_1
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