Algebraic geometry II - schemes and sheaves
MATH-510
Lecture 10 summary
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In lecture 10, we covered the following topics:
-Jacobian criterion for regularity of a k-rational point of an affine k-scheme embedded in affine k-space, with examples;
-warning that regularity is in general ill behaved under field extensions in positive characteristic;
-definition and examples of open and closed subschemes.
-definition of fiber product;
-construction of the fiber product.