Note on a counterexample to Hilbert's fourteenth problem given by P. Roberts

DOI10.1016/0019-3577(94)90001-9zbMath0839.13004OpenAlexW1969094088WikidataQ125018568 ScholiaQ125018568MaRDI QIDQ1344156

A'Campo-Neuen, Annette

Publication date: 6 March 1995

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(94)90001-9

zbMATH Keywords

ring of invariantsHilbert's 14-th problem

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (8)

Linear counterexamples to the fourteenth problem of Hilbert ⋮ On locally trivial \(G_\alpha\)-actions ⋮ An algorithm for computing invariants of linear actions of algebraic groups up to a given degree. ⋮ Factorial algebraic group actions and categorical quotients ⋮ A counterexample to Hilbert's fourteenth problem in dimension six ⋮ An epimorphic subgroup arising from Roberts' counterexample ⋮ A counterexample to the fourteenth problem of Hilbert in dimension three ⋮ A linear counterexample to the Fourteenth Problem of Hilbert in dimension eleven

Cites Work

• An infinitely generated symbolic blow-up in a power series ring and a new counterexample to Hilbert's fourteenth problem
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