Timeline for splitting of the Hodge filtration
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jun 20, 2014 at 7:53 | comment | added | Damian Rössler | I think the OP means: "When is the canonical Hodge splitting already defined over $k$ ?". This happens rarely and the failure to split over $k$ is basically encoded in the Mumford-Tate group, about which there are many deep conjectures. For instance if $X$ is a CM abelian variety and $k$ contains the Galois closure of the CM field, then the sequence splits (and the Mumford-Tate group is a torus). | |
| Jun 19, 2014 at 12:11 | comment | added | meh | not an expert, but isn't that just the degeneration of the Hodge-dR spectral sequence ? | |
| Jun 19, 2014 at 9:17 | review | First posts | |||
| Jun 19, 2014 at 9:20 | |||||
| Jun 19, 2014 at 9:14 | comment | added | S. Carnahan♦ | Do you want to consider a flat family of varieties? | |
| Jun 19, 2014 at 9:05 | comment | added | Fernando Muro | Any short exact sequence of vector spaces splits. | |
| Jun 19, 2014 at 8:58 | history | asked | split93 | CC BY-SA 3.0 |