Timeline for Comparison theorem between étale and de Rham cohomology for local system
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Oct 13, 2016 at 2:53 | comment | added | user99616 | I edit the question a little bit, to make it more meaningful. | |
| Oct 13, 2016 at 2:53 | history | edited | user99616 | CC BY-SA 3.0 |
added 518 characters in body
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| Oct 12, 2016 at 19:22 | comment | added | ACL | I am not sure this requires $p$-adic Hodge theory. $\Ker(\nabla)$ is $\mathbf C$-local system of which the De Rham complex of $\mathscr V(\xi)$ is a resolution. Probably, there exists a $\Q$-structure $V$ on $\Ker(\nabla)$ such that $V\otimes\mathbf Q_\ell=V_\ell$; in any case, via an embedding of $\mathbf Q_\ell$ into $\mathbf C$, $V_\ell\otimes\C$ is isomorphic to $\Ker(\nabla)$. So comparison follows from the classical comparison theorems between singular and étale topologies. | |
| Oct 12, 2016 at 17:56 | history | edited | Myshkin | CC BY-SA 3.0 |
minor formatting
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| Oct 12, 2016 at 17:35 | review | First posts | |||
| Oct 12, 2016 at 17:36 | |||||
| Oct 12, 2016 at 17:34 | history | asked | user99616 | CC BY-SA 3.0 |