Timeline for Existence of birational sections over a center of an exceptional divisor
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15 events
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| Oct 23, 2018 at 14:25 | comment | added | Evgeny Shinder | I suppose if the base field is not algebraically closed, and C is a curve with no rational points, then taking a cone over C in a projective embedding will violate this property. Indeed, the resolution is given by the single blow of the vertex of the cone, which is the total space of the O(-1) line bundle on C, and the exceptional divisor is the zero section, which has no rational points. Passing to families will probably give an example over an algebraically closed field too. | |
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| Mar 24, 2018 at 13:10 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
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| Jan 23, 2018 at 11:23 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Dec 24, 2017 at 10:38 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Oct 26, 2017 at 7:48 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Sep 26, 2017 at 7:33 | answer | added | Ray Lai | timeline score: 2 | |
| Sep 20, 2017 at 14:21 | history | asked | Li Yutong | CC BY-SA 3.0 |