Timeline for Is there a description of the moduli space of elliptic surfaces?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Feb 4, 2015 at 7:17 | comment | added | Remke Kloosterman | Consider the period domain for the elliptic surfaces you are interested in. Then the set of points corresponding with elliptic surfaces with maximal Picard number is a countable set. Take now a one-dimensional family of elliptic surfaces, which, as a family of elliptic surfaces, is not isotrivial. Then this yields a curve in the period domain and this curve has to hit a point which corresponds to an elliptic surface with non-maximal Picard number | |
| Feb 4, 2015 at 5:27 | comment | added | jmc | Remke — Thanks for your answer. In the end it was easier then I thought. The only part that I do not really understand is the last sentence. Could you expand a bit on why the period map is locally an isomorphism? | |
| Feb 3, 2015 at 8:18 | vote | accept | jmc | ||
| Feb 2, 2015 at 21:07 | history | answered | Remke Kloosterman | CC BY-SA 3.0 |