My current playlist is on invariant theory. The first video I just uploaded on the "Ordinary double point" includes a sample calculation of a co-ordinate ring. The next video will also look at the Hilbert series which is a useful tool to aid such calculations.
Hi, Prof. Chan, is it necessary to distinguish between affine algebraic sets and affine algebraic varieties? In the definition of the coordinate ring, I suppose that you just assumed the ideal to be radical, right?
Great Professor Daniel, I'm watching all your videos, could you do videos with examples about how to find the coordinate ring of varieties? Thank you
My current playlist is on invariant theory. The first video I just uploaded on the "Ordinary double point" includes a sample calculation of a co-ordinate ring. The next video will also look at the Hilbert series which is a useful tool to aid such calculations.
DanielChanMaths thanks for your answer!!!
Hi, Prof. Chan, is it necessary to distinguish between affine algebraic sets and affine algebraic varieties? In the definition of the coordinate ring, I suppose that you just assumed the ideal to be radical, right?
I mean, when we want to define closed sets on a ring R, V(I) is all the prime ideals containing I, here why don't we require I be radical?
OK I understand the idea