Abstract
Let kk be a field, let GG be a reductive kk-group and VV an affine kk-variety on which GG acts. In this note we continue our study of the notion of cocharacter-closed G(k)G(k)-orbits in VV. In earlier work we used a rationality condition on the point stabilizer of a GG-orbit to prove Galois ascent/descent and Levi ascent/descent results concerning cocharacter-closure for the corresponding G(k)G(k)-orbit in VV. In the present paper we employ building-theoretic techniques to derive analogous results.
Original language | English |
---|---|
Pages (from-to) | 65-85 |
Number of pages | 21 |
Journal | Pacific Journal of Mathematics |
Volume | 279 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - 21 Dec 2015 |
Keywords
- Affine G-variety
- cocharacter-closed orbit
- rationality
- spherical building