Schemes 32: The line bundles O(n) on projective space
Channel: Richard E Borcherds
Date: 25/07/2020

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne.
We show how to construct a sheaf on a projective scheme Proj(R) from a graded module M over R, and use this to construct some line bundles 
O(n) on projective space P^r. We show these are distinct by calculating their global sections, and use them to construct a map from coherent sheaves to graded modules.