A finite separating set for Daigle and Freudenburg's counterexample to Hilbert's Fourteenth Problem

Abstract

This paper gives the first explicit example of a finite separating set in an invariant ring which is not finitely generated, namely, for Daigle and Freudenburg's 5-dimensional counterexample to Hilbert's Fourteenth Problem.

6 pages

References in corpus (2)

• Separating algebras and finite reflection groups
• The Cohen-Macaulay property of separating invariants of finite groups

Cited by in corpus (3)

• Separating invariants for the basic G_a-actions
• Finite separating sets and quasi-affine quotients
• The separating variety for the basic representations of the additive group