Abstract
This chapter and the next form the technical heart of this book. In this chapter we develop the basic theory of schemes, following Grothendieck [EGA]. Sections 1 to 5 are fundamental. They contain a review of sheaf theory (necessary even to define a scheme), then the basic definitions of schemes, morphisms, and coherent sheaves. This is the language that we use for the rest of the book.
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© 1977 Springer Science+Business Media New York
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Hartshorne, R. (1977). Schemes. In: Algebraic Geometry. Graduate Texts in Mathematics, vol 52. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3849-0_2
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DOI: https://doi.org/10.1007/978-1-4757-3849-0_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2807-8
Online ISBN: 978-1-4757-3849-0
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