Timeline for Does there exist a holomorphic fibration of genus two over $\mathbb{P}^{1}$ with $7$ nodal singularities?
Current License: CC BY-SA 3.0
4 events
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| Sep 11, 2015 at 14:38 | history | edited | Yusuf Mustopa | CC BY-SA 3.0 |
minor mistake corrected
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| Sep 11, 2015 at 14:32 | comment | added | Yusuf Mustopa | Thanks for the correction! I will edit my answer accordingly. | |
| Sep 11, 2015 at 7:31 | comment | added | Remke Kloosterman | There is a minor issue with your argument: If $X$ is a smooth projective surface admitting a genus 2 fibration, with a singular fiber with more than 2 irreducible components then $X$ is only birational (as $\mathbb{P}^1$-variety) to a double cover of a ruled surface. Even if you read the OP as X admits a fibration in genus two curves and there are precisely 7 singular fibers, each of them has one node (and therefore at most two irreducible components) your argument does not always work. | |
| Sep 10, 2015 at 18:36 | history | answered | Yusuf Mustopa | CC BY-SA 3.0 |