Algebraic geometry II - schemes and sheaves

MATH-510

Lecture 12 summary

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In Lecture 12, we covered the following topics:

-notions of connected and integral schemes, with some examples;

-notion of normal scheme, and Serre's conditions;

-geometric interpretation of Serre's R1 condition;

-regular local rings of dimension 1, integrally closed rings of dimension 1, and DVRs are the same thing.