Closed orbits and uniform $S$-instability in geometric invariant theory
Closed orbits and uniform $S$-instability in geometric invariant theory
In this paper we consider various problems involving the action of a reductive group $G$ on an affine variety $V$. We prove some general rationality results about the $G$-orbits in $V$. In addition, we extend fundamental results of Kempf and Hesselink regarding optimal destabilizing parabolic subgroups of $G$ for such …