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ZARISKI’S FINITENESS THEOREM AND PROPERTIES OF SOME RINGS OF INVARIANTS

In this paper we will give a short proof of a special case of Zariski’s result about finite generation in connection with Hilbert’s 14 th problem using a new idea. Our result is useful for invariant subrings of unipotent or connected semisimple groups. We will also prove an analogue of Miyanishi’s r...

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Bibliographic Details
Published in:Transformation groups 2021-12, Vol.26 (4), p.1315-1329
Main Authors: GURJAR, R. V., GURJAR, S. R., HAJRA, B.
Format: Article
Language:English
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Summary:In this paper we will give a short proof of a special case of Zariski’s result about finite generation in connection with Hilbert’s 14 th problem using a new idea. Our result is useful for invariant subrings of unipotent or connected semisimple groups. We will also prove an analogue of Miyanishi’s result for the ring of invariants of a G a -action on R [ X , Y , Z ] for an affine Dedekind domain R using topological methods.
ISSN:1083-4362
1531-586X
DOI:10.1007/s00031-020-09594-0