Timeline for Strongly isovariant (aka fixed point reflecting / stabiliser preserving) morphisms
Current License: CC BY-SA 4.0
3 events
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| Jan 29, 2019 at 22:16 | comment | added | Tom Bachmann | With considerable pain, I seem to have convinced myself if the following. Perhaps let everything be affine over a noetherian base with trivial action, to be safe, but surely this cannot matter too much. Consider $\pi: X \to S$. (1) suppose $\pi$ is smooth and preserves stabilizers in the naive sense (pointwise). Then $\pi$ is isovariant. (2) suppose $\pi$ is flat, isovariant and finite type. Then $\pi$ is strongly flat. (3) suppose $\pi$ is smooth and isovariant. Then $\pi$ is strongly smooth. I'd still be very interested in references for statements like this. | |
| Jan 28, 2019 at 13:50 | history | edited | Tom Bachmann | CC BY-SA 4.0 |
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| Jan 28, 2019 at 9:21 | history | asked | Tom Bachmann | CC BY-SA 4.0 |