Algebraic geometry II - schemes and sheaves

MATH-510

Lecture 17 (13.11.24)

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1) Serre twist of a sheaf on Proj.

2) Locally free sheaves, invertible sheaves, defintion of the Picard group.

3) A criterion when an O_X(n) is invertible.

4) Under some hypothesis, quasicoherent sheaves are given by graded modules. We constructed a natural graded module which recovers the quasicoherent sheaf.