Abstract
We generalize Roberts' counterexample to the fourteenth problem of Hilbert, and give a sufficient condition for certain invariant rings not to be finitely generated. It shows that there exist a lot of counterexamples of this type. We also determine the initial algebra of Roberts' counterexample for some monomial order
Citation
Shigeru Kuroda. "A generalization of Roberts' counterexample to the fourteenth problem of Hilbert." Tohoku Math. J. (2) 56 (4) 501 - 522, 2004. https://doi.org/10.2748/tmj/1113246747
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