Schemes 32: The line bundles O(n) on projective space
Автор: Richard E Borcherds
Загружено: 2020-07-24
Просмотров: 4796
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.
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