On the finite generation of additive group invariants in positive characteristic
Roberts, Freudenburg, and Daigle and Freudenburg have given the smallest counterexamples to Hilbert's fourteenth problem as rings of invariants of algebraic groups. Each is of an action of the additive group on a finite dimensional vector space over a field of characteristic zero, and thus, eac...
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| Autori principali: | , |
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| Natura: | Article (Journal) |
| Lingua: | inglese |
| Pubblicazione: |
2 June 2010
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| In: |
Journal of algebra
Year: 2010, Volume: 324, Fascicolo: 8, Pages: 1952-1963 |
| ISSN: | 1090-266X |
| DOI: | 10.1016/j.jalgebra.2010.05.023 |
| Accesso online: | Resolving-System, Volltext: http://dx.doi.org/10.1016/j.jalgebra.2010.05.023 Verlag, Volltext: https://www.sciencedirect.com/science/article/pii/S0021869310002577 
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| Note sull'autore: | Emilie Dufresne, Andreas Maurischat |
| Riassunto: | Roberts, Freudenburg, and Daigle and Freudenburg have given the smallest counterexamples to Hilbert's fourteenth problem as rings of invariants of algebraic groups. Each is of an action of the additive group on a finite dimensional vector space over a field of characteristic zero, and thus, each is the kernel of a locally nilpotent derivation. In positive characteristic, additive group actions correspond to locally finite iterative higher derivations. We set up characteristic-free analogs of the three examples, and show that, contrary to characteristic zero, in every positive characteristic, the invariants are finitely generated. |
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| Descrizione del documento: | Gesehen am 21.02.2019 |
| Descrizione fisica: | Online Resource |
| ISSN: | 1090-266X |
| DOI: | 10.1016/j.jalgebra.2010.05.023 |