Algebraic geometry II - schemes and sheaves

Hi guys, 

I finished the lecture notes for my part of the course. Please handle with care. 

Remark: in the simplified version of miracle flatness (last lecture) I needed to add the assumption (3) to the theorem to make induction work (without that assumption, the induction breaks because S/x might not be regular. This is why CM is better, as S/x will always be a Cohen-Macaulay ring)

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