Algebraic geometry II - schemes and sheaves

MATH-510

Lecture 22 (04.12.24) summary

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1) Derivations, module of Kahler differential of a ring.

2) Module of Kahler differentials as I/I^2.

3) Properties of modules of Kahler differentials.

4) Sheaf of Kahler differentials. Quasicoherence, coherence of the sheaf of Kahler differentials.

5) comparison of fibre of Kahler differentials of a local ring and m/m^2.