Browsing by Subject "Affine G-variety"

Now showing items 1-2 of 2

Cocharacter-closure and spherical buildings

[OWP-2015-12] Bate, Michael; Herpel, Sebastian; Martin, Benjamin; Röhrle, Gerhard (Mathematisches Forschungsinstitut Oberwolfach, 2015-07-29)

Let $k$ be a field, let $G$ be a reductive $k$ -group and $V$ an affine $k$ -variety on which $G$ acts. In this note we continue our study of the notion of cocharacter-closed $G(k)$ -orbits in $V$ . In earlier work we used a ...
Cocharacter-Closure and the Rational Hilbert-Mumford Theorem

[OWP-2014-16] Bate, Michael; Herpel, Sebastian; Martin, Benjamin; Röhrle, Gerhard (Mathematisches Forschungsinstitut Oberwolfach, 2014-12-20)

For a field $k$ , let $G$ be a reductive $k$ -group and $V$ an affine $k$ -variety on which $G$ acts. Using the notion of cocharacter-closed $G(k)$ -orbits in $V$ , we prove a rational version of the celebrated Hilbert-Mumford ...