Timeline for Concrete descriptions of $S^1$-bundles over smooth manifold $Y$ underying a K3 surface
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| May 18, 2022 at 7:22 | vote | accept | James | ||
| May 17, 2022 at 20:42 | answer | added | Danny Ruberman | timeline score: 2 | |
| May 17, 2022 at 14:41 | comment | added | Will Sawin | One approach to giving explicit constuctions of $S^1$-bundles is to give, by algebraic geometry means, explicit constructions of algebraic line bundles. For the surface with equations you live, the space of algebraic line bundles has rank $20$, so one should be able to explicitly construct twenty independent classes this way. One can deform the K3 to make different classes appear algebraically but then one is face with choosing an explicit diffeomorphism to the deformation. | |
| May 17, 2022 at 13:50 | history | edited | Henri | CC BY-SA 4.0 |
Fixed the spaces where $\theta$ and $\omega$ live
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| May 17, 2022 at 10:52 | history | asked | James | CC BY-SA 4.0 |