Commutative algebra 60: Regular local rings
Channel: Richard E Borcherds
Date: 2020-12-15

This lecture is part of an online course on commutative algebra, following the book
"Commutative algebra with a view toward algebraic geometry" by David Eisenbud.

We define regular local rings as the local rings whose dimension is equal to the dimension of their cotangent space. We give some examples of local rings that are or are not regular. 

(Correction: in the example near the end working out the singular points of a hypersurface, add the condition that the field is algebraically closed.)

Reading: Section
Exercises: