Algebraic geometry II - schemes and sheaves

MATH-510

Lecture 20 (27.11.24) summary

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1) The correspondence between morphism to projective spaces and sections of invertible sheaves.

2) Automorphism groups of projective spaces over a field.

3) Locally closed, closed, open immersions.

4) Notion of quasiprojective, projective morphisms, very ample invertible sheaves.

5) Over an affine base an invertible sheaf is ample iff some positive power is very ample.