A note on "A generalization of Roberts' counterexample to the fourteenth problem of Hilbert by S. Kuroda"

Mathematics – Algebraic Geometry

Scientific paper

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7 pages

Scientific paper

In [4], Kuroda generalized Roberts' counterexample \cite{Roberts} to the
fourteenth problem of Hilbert. The counterexample is given as the kernel of a
locally nilpotent derivation on a polynomial ring. We replace his construction
of the invariant elements by a more straightforward construction and give a
more precise form of invariant elements.

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