Algebraic geometry II - schemes and sheaves

MATH-510

This week's goal

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Topics to be covered in class:

-regular local rings;

-Nakayama's lemma and geometric interpretation;

-Zariski (co)tangent space;

-Jacobian criterion for regularity;

-fiber product of schemes;

-open and closed subschemes;

-various notions of fiber of a morphism.