Timeline for Elliptic surface with $\kappa = 1$
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Apr 17, 2012 at 10:29 | vote | accept | Wanderer | ||
| Apr 16, 2012 at 23:11 | comment | added | Dmitri Panov | Answer to 1 is given by Francesco. Concerning the new question 2 two things can be said. First, if the base is a curve of genus $>0$ there can not be a section that is a rational curve (this is a simple exercise). Second, the answer to the beginning of your second question is NO. Indeed, the simplest such elliptic surface is obtained by blowing up $\mathbb CP^2$ in $9$ points - the base points of an elliptic pencil. If you blow down these curves you get back $\mathbb CP^2$, which is not elliptic. | |
| Apr 16, 2012 at 22:43 | history | edited | Wanderer | CC BY-SA 3.0 |
added 647 characters in body; added 77 characters in body
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| Apr 16, 2012 at 16:22 | answer | added | Francesco Polizzi | timeline score: 4 | |
| Apr 16, 2012 at 16:17 | history | asked | Wanderer | CC BY-SA 3.0 |