Timeline for Ranks of elliptic curves depend only on the field?
Current License: CC BY-SA 3.0
3 events
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| Aug 6, 2015 at 14:33 | history | edited | loglog | CC BY-SA 3.0 |
added 17 characters in body
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| Aug 6, 2015 at 12:34 | comment | added | Vesselin Dimitrov | The question is whether or not the finite generation of $E(K)$, as $K \subset \bar{\mathbb{Q}}$ is fixed but $E$ varies, is an intrinsic property of the field $K$. This is so for instance if $K$ has finite degree over $\mathbb{Q}$, or if $K = \bar{\mathbb{Q}}$, or if $K$ is the maximal totally real or totally $p$-adic extension of $\mathbb{Q}$. | |
| Aug 6, 2015 at 12:27 | history | answered | loglog | CC BY-SA 3.0 |