Timeline for Is a reductive group scheme always parahoric?
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| Oct 12, 2018 at 20:42 | comment | added | Cheng-Chiang Tsai | When the residue field is perfect, the answer is yes, and they are called hyperspecial parahorics. I'd recommend Tits' Corvallis article as a reference. The point is that Bruhat-Tits and parahorics are meant to behave well under unramified base change, after which your group (scheme) becomes split. (My Bruhat-Tits theory works only for complete DVR with perfect residue field - most things should still work for Henselian, but I am not capable of carefully telling. Nor I am capable of saying what happen with non-perfect residue fields.) | |
| Oct 12, 2018 at 13:31 | history | edited | Question Machine | CC BY-SA 4.0 |
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| Oct 12, 2018 at 6:55 | review | First posts | |||
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| Oct 12, 2018 at 6:54 | history | asked | Question Machine | CC BY-SA 4.0 |