Timeline for On Simpson's motivicity conjecture
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 18, 2023 at 14:33 | history | became hot network question | |||
| Nov 18, 2023 at 13:12 | answer | added | Donu Arapura | timeline score: 5 | |
| Nov 18, 2023 at 8:37 | comment | added | naf | Rigidity is not an essential condition, but if one drops it then one must impose some other condition. One reason for this is that a subquotient of a Gauss-Manin system always has quasi-unipotent local monodromy (at infinity), but it is very easy to find irreducible connections which do not have this property. An example of another condition that one can impose is to require that the connection comes from a polarised variation of Hodge structure; Simpson also has a conjecture in this context. (Rigid connections are quite rare, most Gauss-Manin systems are not be rigid.) | |
| Nov 18, 2023 at 8:30 | comment | added | naf | Your definition of the Gauss-Manin connection is not quite correct, one should look at the connection on relative de Rham cohomology, not the cohomology of the structure sheaf. | |
| Nov 18, 2023 at 6:31 | history | asked | user145752 | CC BY-SA 4.0 |