Timeline for Mixed Hodge structure cohomology of fibration
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 16, 2021 at 8:21 | comment | added | Dan Petersen | @virkkunen This happens only if $F$ is a point, which is not so interesting. | |
| Apr 15, 2021 at 13:43 | comment | added | user178279 | What if $E(F, x, y)=1$? | |
| Apr 12, 2021 at 21:54 | vote | accept | Tommaso Scognamiglio | ||
| Apr 12, 2021 at 21:54 | comment | added | Tommaso Scognamiglio | Okok really thank you for the counterexamples :) | |
| Apr 12, 2021 at 21:41 | comment | added | Dan Petersen | No, connectedness wouldn't help, either, though examples become more complicated. You may for example think of the projection from the Legendre family of elliptic curves down to $\mathbb P^1 \setminus \{0,1,\infty\}$. | |
| Apr 12, 2021 at 20:39 | comment | added | Tommaso Scognamiglio | Is there like an intuitive way of see why this should fall? Or like a geometric explanation? I thought this was true also because of Katz theorem which relates E polynomial to number of points over finite fields. So connectedness hypothesis would not be useful at all? | |
| Apr 12, 2021 at 20:32 | history | answered | Dan Petersen | CC BY-SA 4.0 |