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Properties of Morphisms of Schemes

In: A Royal Road to Algebraic Geometry

Author

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  • Audun Holme

    (University of Bergen, Department of Mathematics)

Abstract

This chapter contains such important concepts as sheaves of modules and algebras on schemes, quasi coherence and coherence for these sheaves, Spec of a sheaf of algebras on a scheme, reduced structure and the generalization of the field of functions from the classical theory to the algebra of fractions for a scheme. Also treated here are irreducible components of Noetherian schemes, embeddings, the graph and the diagonal in the category of schemes, and finally, separated morphisms and separated schemes.

Suggested Citation

  • Audun Holme, 2012. "Properties of Morphisms of Schemes," Springer Books, in: A Royal Road to Algebraic Geometry, chapter 0, pages 217-238, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-19225-8_11
    DOI: 10.1007/978-3-642-19225-8_11
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