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For questions about or involving fibrations which are maps which satisfy the homotopy lifting property for all spaces.
4
votes
Does there exist a holomorphic fibration of genus two over $\mathbb{P}^{1}$ with $7$ nodal s...
Then the induced fibration has 7 singular fibers, and each fiber is of the form $C\cup E$ where $E$ is a smooth rational curve intersecting $C$ in one point. …
6
votes
Accepted
Elliptic fibrations with few singular fibers
You can then get the general case by considering the Jacobian of the elliptic fibration. … If the original fibration has a singular fiber over a point $p$, and this fiber is not a multiple of a smooth fiber, then the fiber of $p$ in the associated Jacobian fibration is also singular. …