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.
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Grothendieck, A.: Éléments de géométrie algébrique. i–iv. Publ. Math. I.H.E.S., 4, 8, 11, 17, 20, 24, 28, 32
Macdonald, I.G.: Algebraid Geometry. Introduction to Schemes. Mathematics Lecture Notes Series. W.A. Benjamin, New York (1968)
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© 2012 Springer-Verlag Berlin Heidelberg
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Holme, A. (2012). Properties of Morphisms of Schemes. In: A Royal Road to Algebraic Geometry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19225-8_11
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DOI: https://doi.org/10.1007/978-3-642-19225-8_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19224-1
Online ISBN: 978-3-642-19225-8
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