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Mar 15, 2018 at 18:00 answer added Sean Lawton timeline score: 3
Nov 9, 2017 at 17:17 comment added Friedrich Knop Any variety is a quotient. It is likely that any stratification can be realized as a Luna stratification. Clearly, the corresponding $X$ is then highly singular. So, no, the Luna stratification has no special properties unless you know something about $X$ (like smoothness).
Nov 9, 2017 at 15:15 comment added user117030 @FriedrichKnop I was assuming the strata are smooth, but forgot to mention it.
Nov 9, 2017 at 15:14 history edited user117030 CC BY-SA 3.0
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Nov 9, 2017 at 14:07 comment added Friedrich Knop Consider the trivial action with $X=X//G=(X//G)_{(G)}$. So $X$ should at least be smooth.
Nov 9, 2017 at 9:48 review First posts
Nov 9, 2017 at 10:06
Nov 9, 2017 at 9:45 history asked user117030 CC BY-SA 3.0