Timeline for K3 surface as an anticanonical section
Current License: CC BY-SA 3.0
6 events
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May 22, 2015 at 14:27 | history | edited | Francesco Polizzi | CC BY-SA 3.0 |
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May 22, 2015 at 14:26 | comment | added | Francesco Polizzi | If $S \subset V$ is not ample, Lefschetz Hyperplane Theorem in general fails and so, at least in principle, we have no control on the Picard number of $V$, even if the Picard number of $S$ is $1$. This makes the question quite tricky. | |
May 22, 2015 at 10:29 | comment | added | Creg | It seems that it is not a easy question. Let me try to simplify the question. How about the case that $S$ has Picard number one? | |
May 21, 2015 at 21:34 | comment | added | Daniel Loughran | One comes close with the following example: Consider $V = S \times \mathbb{P}^1$. Here each anticanonical divisor is isomorphic to either two copies of $S$ or $S$ doubled. | |
May 21, 2015 at 18:56 | answer | added | Francesco Polizzi | timeline score: 5 | |
May 21, 2015 at 15:52 | history | asked | Creg | CC BY-SA 3.0 |