Algebraic geometry II - schemes and sheaves

MATH-510

Content of 12.12.25 lecture

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1) Section of higher derived pushforward on an affine scheme is the cohomology group.

2) Consequences of vanishing of higher derived pushforwards.

3) Cech complex of sheaves and abelian groups, example.

4) Cech cohomology vs sheaf cohomology via derived functors.

5) Cohomology of invertible sheaves on projective spaces.