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Non-Finitely Generated Kernels

  • Gene Freudenburg
Chapter
  • 689 Downloads
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 136)

Abstract

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.

Keywords

Prime Ideal Polynomial Ring Hilbert Series Coordinate Ring Finiteness Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2006

Authors and Affiliations

  • Gene Freudenburg
    • 1
  1. 1.Department of MathematicsWestern Michigan UniversityKalamazooUSA

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