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Author Dufresne, Emilie ♦ Maurischat, Andreas
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2010-01-19
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Commutative Algebra ♦ 13A50 ♦ math
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 the three examples, and show that, contrary to characteristic zero, in every positive charateristic, the invariants are finitely generated.
Educational Use Research
Learning Resource Type Article
Page Count 14


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