Timeline for Frobenius actions on de Rham cohomology of ordinary elliptic curves
Current License: CC BY-SA 4.0
3 events
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| Apr 1, 2021 at 15:12 | comment | added | David Loeffler | You're essentially asking for a rigid-analytic Frobenius lifting on $E$ (or on some open affinoid in it). These can be made really rather concrete, have a look at the literature on Kedlaya's algorithm for computing Frobenius via rigid cohomology. | |
| Apr 1, 2021 at 14:04 | comment | added | Leray Jenkins | Thanks! That makes a lot of sense. Do you know if there is a useful description of what (non-trivial) map is required to get from Katz's construction to the absolute Frobenius? For example, does something like Gauss—Manin help undo the fact that $\varphi$ has moved us to a different position in the family, as you mentioned? | |
| Apr 1, 2021 at 7:21 | history | answered | David Loeffler | CC BY-SA 4.0 |