Loading…
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...
Saved in:
Published in: | Transformation groups 2021-12, Vol.26 (4), p.1315-1329 |
---|---|
Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites |
Online Access: | Get full text |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
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 |