Timeline for symplectic sum of two copies of $Bl_{p}(\mathbb{CP}^{2})$
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Feb 2, 2019 at 19:38 | comment | added | Nick L | That makes sense, Thanks! | |
| Feb 2, 2019 at 18:45 | history | edited | Nick L | CC BY-SA 4.0 |
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| Feb 2, 2019 at 17:44 | comment | added | Jonny Evans | I think if you Gompf sum along a fibre you just get the bundle over the connect sum of bases, i.e. the second Hirzebruch surface in this case. So yes, it has a compatible Kaehler structure. A more complicated example would be fibre summing elliptic surfaces along elliptic fibres: the result is still an elliptic surface (e.g. fibre sum of two rational elliptic surfaces is a K3). | |
| Feb 2, 2019 at 15:35 | history | asked | Nick L | CC BY-SA 4.0 |