Timeline for Can a toric surface be an elliptic surface?
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| May 21, 2016 at 8:37 | comment | added | Francesco Polizzi | If you are asking whether the blow up of the plane at $9$ points that are base locus of a pencil of cubics can be a toric surface, then the answer is no. In fact, such an elliptic surface contains infinitely many $(-1)$-curves, so in particular its Cox ring is not finitely generated. On the other hand, any toric variety has a finitely generated Cox ring. See also mathoverflow.net/questions/72917/… | |
| May 21, 2016 at 7:59 | review | First posts | |||
| May 21, 2016 at 8:07 | |||||
| May 21, 2016 at 7:56 | history | asked | Fan | CC BY-SA 3.0 |