Timeline for Does every non-isotrivial 1-parameter family of elliptic curves have a positive rank specialization?
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Oct 19, 2021 at 18:33 | answer | added | Will Sawin | timeline score: 5 | |
| Oct 19, 2021 at 14:13 | vote | accept | Jonathan Love | ||
| Oct 19, 2021 at 14:09 | history | edited | Jonathan Love | CC BY-SA 4.0 |
small correction regarding the implications of cited results
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| Oct 17, 2021 at 18:49 | comment | added | KConrad | What you call “constant root number” examples is not really so: those only occur for parameter values $t$ in $\mathbf Z$, but that is not geometrically meaningful: let $t$ run over $\mathbf Q$ and you will find root numbers of both signs. Better examples are due to Cassels and Rohrlich. See the introduction of arxiv.org/abs/math/0408153 for those examples and what is known or expected. | |
| Oct 17, 2021 at 18:21 | history | edited | Ariyan Javanpeykar |
algebraic-geometry tag added
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| Oct 15, 2021 at 11:01 | answer | added | Daniel Loughran | timeline score: 9 | |
| Oct 8, 2021 at 23:12 | comment | added | Will Chen | I had long wondered this myself! Note that if true, it would realize the Suzuki group of order 29120 as a Galois group over $\mathbb{Q}$ (in the sense of the inverse Galois problem). This would probably also work for a number of other groups. See for example $\S4.3$ in arxiv.org/pdf/1510.05687.pdf | |
| Oct 8, 2021 at 21:55 | history | edited | Jonathan Love |
added tags
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| S Oct 8, 2021 at 21:48 | review | First questions | |||
| Oct 8, 2021 at 22:59 | |||||
| S Oct 8, 2021 at 21:48 | history | asked | Jonathan Love | CC BY-SA 4.0 |