Timeline for Definition of an invariant differential of an elliptic curve
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Sep 3, 2019 at 3:19 | comment | added | Tom Copeland | Perhaps this might help: mathoverflow.net/questions/82597/… | |
| Jun 21, 2019 at 1:59 | comment | added | Asvin | The previous comments are absolutely correct but also, an invariant differential is a differential form on the elliptic curve that is invariant under translation. It turns out that any global holomorphic differential form on an abelian variety is invariant. | |
| Jun 20, 2019 at 19:34 | comment | added | meh | I really like @abx 's comment. Since the space of differentials is 1-D, any differential is invariant under any action. | |
| Jun 20, 2019 at 18:32 | comment | added | abx | Are you aware that the space of differential forms on $E$ (relative to the base field) is 1-dimensional? "invariant" is a red herring here. | |
| Jun 20, 2019 at 17:29 | comment | added | R.P. | The invariant differential is defined by Silverman for a Weierstrass equation, not for an elliptic curve. However it follows from the formulas in Table 3.1 (last line) that for any two Weierstrass equations describing a given elliptic curve $E$, the associated invariant differentials will be scalar multiples of one another. (Alternatively, it also follows immediately from Proposition III.1.5.) | |
| Jun 20, 2019 at 14:40 | review | Close votes | |||
| Jun 27, 2019 at 3:05 | |||||
| Jun 20, 2019 at 14:14 | history | edited | R.P. | CC BY-SA 4.0 |
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| Jun 20, 2019 at 13:42 | history | edited | Shimrod | CC BY-SA 4.0 |
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| Jun 20, 2019 at 13:35 | history | edited | Shimrod | CC BY-SA 4.0 |
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| Jun 20, 2019 at 13:25 | history | asked | Shimrod | CC BY-SA 4.0 |