• Robin Hartshorne
Part of the Graduate Texts in Mathematics book series (GTM, volume 52)


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.


Local Ring Finite Type Global Section Coherent Sheave Coherent Sheaf 
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Copyright information

© Springer Science+Business Media New York 1977

Authors and Affiliations

  • Robin Hartshorne
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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