Timeline for Mixed Hodge structure cohomology of fibration
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 13, 2021 at 7:59 | answer | added | Sean Lawton | timeline score: 2 | |
| Apr 12, 2021 at 21:54 | vote | accept | Tommaso Scognamiglio | ||
| Apr 12, 2021 at 20:32 | answer | added | Dan Petersen | timeline score: 4 | |
| Apr 12, 2021 at 20:15 | comment | added | Tommaso Scognamiglio | Actually you are totally right: E polynomial of the punctured affine line is $xy-1$ so one would get a contradiction. I 've to admit I really believed it was true: I don't know if putting some connectedness hypothesis on the fiber works could be useful or not. | |
| Apr 12, 2021 at 17:39 | comment | added | user108998 | @Tommaso, perhaps I'm being silly but isn't the squaring map from punctured affine line to itself a counterexample if u relax the Zar loc trivial condition to étale loc triv? | |
| Apr 12, 2021 at 16:55 | comment | added | Tommaso Scognamiglio | If that could help I'm looking for a statement with both $X,P$ assumed to be affine. But thank you for the reference and the other answer! | |
| Apr 12, 2021 at 16:16 | comment | added | Nicolas Hemelsoet | I don't know. I remember discussing it here math.stackexchange.com/questions/3472329/… but we couldn't come to a conclusion. | |
| Apr 12, 2021 at 15:27 | comment | added | Tommaso Scognamiglio | If it just a fibre bundle in the etale topology? Can we still say it's true? | |
| Apr 12, 2021 at 15:22 | comment | added | Nicolas Hemelsoet | If it's a Zariski fibre-bundle, then it's true. You can use the fact that the $E$-polynomial only depends on the class in the Grothendieck ring of varieties. | |
| Apr 12, 2021 at 15:02 | history | edited | Tommaso Scognamiglio | CC BY-SA 4.0 |
added 2 characters in body
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| Apr 12, 2021 at 14:33 | review | First posts | |||
| Apr 12, 2021 at 14:43 | |||||
| Apr 12, 2021 at 14:33 | history | asked | Tommaso Scognamiglio | CC BY-SA 4.0 |