Timeline for Another fibration with a given singular fiber class.
Current License: CC BY-SA 3.0
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| when toggle format | what | by | license | comment | |
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| Mar 17, 2013 at 15:26 | comment | added | Donu Arapura | Correction: I guess I was thinking of $Y$ as a surface. In general, you would need to blow up along a smooth codim 2 subset of $X$ supported on $D$. | |
| Mar 17, 2013 at 15:24 | comment | added | Donu Arapura | Without further hypothesis, I don't see how you would prove something like this. Consider the following example. Suppose $g:Y\to C$ is a surjective map with general fibre $D$, blow up $Y$ along a point on $D$ to get $X$. Now $D$ appears as a component of singular fibre of $X$, yet all the other smooth fibres are deformation equivalent to $D$. | |
| Mar 17, 2013 at 6:30 | history | asked | Kim | CC BY-SA 3.0 |