Algebraic geometry II - schemes and sheaves

MATH-510

Lecture 5 summary

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In lecture 5, we covered the following topics:

-equivalence of categories between rings and spectra as locally ringed spaces;

-example of morphism between spectra that is a morphism of ringed spaces but not of locally ringed spaces;

-definition of scheme and of affine scheme;

-examples of schemes and morphisms between them.