- Abstract:
-
The first part of this paper is a refinement of Winkelmann’s work on invariant rings and quotients of algebraic group actions on affine varieties, where we take a more geometric point of view. We show that the (algebraic) quotient X//GX//G given by the possibly not finitely generated ring of invariants is “almost” an algebraic variety, and that the quotient morphism π:X→X//Gπ:X→X//G has a number of nice properties. One of the main difficulties comes from the fact that the quotient morph...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted manuscript
- Files:
-
-
(pdf, 444.4KB)
-
- Publisher copy:
- 10.1007/s00209-015-1420-0
-
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- Publisher:
- Springer Berlin Heidelberg Publisher's website
- Journal:
- Mathematische Zeitschrift Journal website
- Volume:
- 280
- Issue:
- 1-2
- Pages:
- 231–255
- Publication date:
- 2015-01-25
- Acceptance date:
- 2014-11-23
- DOI:
- ISSN:
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1432-1823 and 0025-5874
- Pubs id:
-
pubs:652546
- URN:
-
uri:e9bfaf3b-cf73-4c5e-bcef-d5bd5daa3871
- UUID:
-
uuid:e9bfaf3b-cf73-4c5e-bcef-d5bd5daa3871
- Local pid:
- pubs:652546
- Paper number:
- 1-2
- Keywords:
- Copyright holder:
- Springer-Verlag Berlin Heidelberg
- Copyright date:
- 2015
- Notes:
-
This is an
accepted manuscript of a journal article published by Springer in Mathematische Zeitschrift on 2015-01-25, available online: http://dx.doi.org/10.1007/s00209-015-1420-0
Journal article
Invariants and separating morphisms for algebraic group actions
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