Timeline for Picard group of a K3 surface generated by a curve
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Mar 19, 2013 at 12:00 | comment | added | Jason Starr | @Youloush: What precisely are you asking? Ottem's answer proves that such surfaces exist. However, if you want to write one down in an explicit way, say over a field like $\overline{\mathbb{Q}}$ and for $g$ moderately large, that is quite difficult. For fields like $\overline{\mathbb{Q}}$, I recommend you look at the work of van Luijk. For large $g$, the results of Gritsenko, Hulek and Sankaran show that one cannot "algebraically parameterize" general K3 surfaces of large genus. | |
| Mar 18, 2013 at 17:51 | answer | added | J.C. Ottem | timeline score: 5 | |
| Mar 18, 2013 at 17:34 | history | asked | Youloush | CC BY-SA 3.0 |