Timeline for variations of finite stabilizer in the action of an algebraic group on an affine variety
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 1, 2021 at 11:21 | vote | accept | Ehud Meir | ||
| Aug 4, 2017 at 9:15 | answer | added | Friedrich Knop | timeline score: 3 | |
| Aug 3, 2017 at 15:50 | comment | added | Jason Starr | For the morphism $\psi:G\times X \to X\times X$, $(g,x)\mapsto (g\cdot x, x)$, the scheme $S=\psi^{-1}(\Delta(X))$ together with its induced morphism, $S\to X$, is the family of stabilizers. There is a maximal open subset of $X$ (possibly empty) over which this morphism has finite fibers by Chevalley's theorems. There is a stratification of this open into locally closed subsets based on the length of the stabilizer group. There are results about these strata, e.g., the answer by abx: mathoverflow.net/questions/203313/stabilisers-of-group-actions/… | |
| Aug 3, 2017 at 14:24 | history | asked | Ehud Meir | CC BY-SA 3.0 |