Algebraic geometry II - schemes and sheaves

MATH-510

Lecture 21 (29.11.24) summary

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1) Correction to the defintion of a locally closed immersion.

2) Over an affine base, a proper scheme is projective iff it has an ample invertible sheaf.

3) Relative Proj construction.

4) Blowing up an ideal sheaf as a relative Proj.

5) Properties of Blowing up.

6) Resolving the indeterminacies of a map by blowing up.