Timeline for What evidence is there that $\mathbb{Q}^{ab}$ is ample?
Current License: CC BY-SA 3.0
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Jun 25, 2013 at 9:13 | answer | added | Alex B. | timeline score: 7 | |
Jun 24, 2013 at 19:30 | history | edited | Makhalan Duff | CC BY-SA 3.0 |
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Jun 24, 2013 at 0:19 | comment | added | user29720 | Aha, right you are. Well, the "ampleness" condition is new to me, and I am amazed to hear that it is conjectured to be true. | |
Jun 23, 2013 at 20:14 | comment | added | Makhalan Duff | kreck, I think you are confusing between "ample" and "PAC" (Pseudo Algebraically Closed). The maximal solvable extension of $\mathbb{Q}$ is thought to perhaps be PAC. But ampleness is a much weaker condition. | |
Jun 23, 2013 at 20:09 | comment | added | user29720 | The solvable variant seems more like a question than a conjecture, as it is just an optimistic guess with no compelling evidence beyond that it sure would be useful if it were true (validity in low-genus cases is not particularly convincing, even if rather nontrivial for genus 1). Where in the literature has someone been bold enough to pose the "abelian" version as a question, let alone as a conjecture? | |
Jun 23, 2013 at 19:48 | history | edited | Makhalan Duff | CC BY-SA 3.0 |
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Jun 23, 2013 at 19:38 | history | asked | Makhalan Duff | CC BY-SA 3.0 |