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On the finite generation of additive group invariants in positive characteristic

Abstract:

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 ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.jalgebra.2010.05.023

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Elsevier
Journal:
Journal of Algebra More from this journal
Volume:
324
Issue:
8
Pages:
1952-1963
Publication date:
2010-06-02
DOI:
ISSN:
0021-8693
Keywords:
Pubs id:
pubs:652554
UUID:
uuid:90c3daf1-cbde-4b3c-87bb-ed0df8725fed
Local pid:
pubs:652554
Deposit date:
2016-10-14

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