Abstract
The chapter starts by defining Proj(S) for a graded ring k[X
0,…,X
N
], the scheme-theoretic version of projective N-space. We then immediately move on to Proj (S) for a graded A-algebra S. It is first defined as a Spec(A)-scheme when A is a commutative ring, then we proceed to extended the definition to the important global case of a graded 
-algebra 
on a scheme X. Likewise the module corresponding to a graded S-module 
is defined, as well as the global counterpart for a graded 
-module on a scheme X.
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Holme, A. (2012). Projective Schemes and Bundles. In: A Royal Road to Algebraic Geometry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19225-8_14
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DOI: https://doi.org/10.1007/978-3-642-19225-8_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19224-1
Online ISBN: 978-3-642-19225-8
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