Non-Finitely Generated Kernels
- 689 Downloads
This chapter shows that the solution to the Finiteness Problem for non-linear algebraic G a -actions is, in general, negative. In particular, we will explore the famous examples of Paul Roberts and some of the rich theory which has flowed from them. These were the first examples to (in effect) show that the kernel of a locally nilpotent derivation on a polynomial ring is not always finitely generated.
KeywordsPrime Ideal Polynomial Ring Hilbert Series Coordinate Ring Finiteness Theorem
Unable to display preview. Download preview PDF.