Geodesic
On the Castelnuovo-Mumford regularity of rings of polynomial invariants
Peter Symonds1
1 School of Mathematics<br/>University of Manchester<br/>Oxford Road<br/>Manchester M13 9PL <br/>United Kingdom
Annals of mathematics, Tome 174 (2011) no. 1, pp. 499-517.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We show that when a group acts on a polynomial ring over a field the ring of invariants has Castelnuovo-Mumford regularity at most zero. As a consequence, we prove a well-known conjecture that the invariants are always generated in degrees at most $n(|G|-1)$, where $n >1$ is the number of polynomial generators and $|G|>1$ is the order of the group. We also prove some other related conjectures in invariant theory.
DOI : 10.4007/annals.2011.174.1.14

Peter Symonds 1

1 School of Mathematics<br/>University of Manchester<br/>Oxford Road<br/>Manchester M13 9PL <br/>United Kingdom 
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Peter Symonds. On the Castelnuovo-Mumford regularity of rings of polynomial invariants. Annals of mathematics, Tome 174 (2011) no. 1, pp. 499-517. doi : 10.4007/annals.2011.174.1.14. http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.174.1.14/

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