Timeline for Isomorphism of the $\ell$-adic Tate module of an elliptic curve with CM
Current License: CC BY-SA 4.0
15 events
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Jul 6, 2019 at 23:28 | vote | accept | AZMEH | ||
Jul 3, 2019 at 0:20 | comment | added | AZMEH | @WillSawin, I found this statement in K. Kato, p-adic Hodge Theory and Values of Zeta Functions of Modular Forms, Astérisque 295 (2004), 117–290 in page 260 section 15.10 for modular forms with CM. I am trying to understand it in the simplest case of an elliptic curve with CM (see page 256 section 15.8). | |
Jul 1, 2019 at 23:52 | comment | added | Will Sawin | Where is the Galois action coming from in your definition of $V_\ell(\psi)$? Is $\psi$ involved? Where did this definition comes from? | |
Jun 24, 2019 at 16:24 | vote | accept | AZMEH | ||
Jul 3, 2019 at 0:21 | |||||
Jun 24, 2019 at 16:21 | answer | added | Filippo Alberto Edoardo | timeline score: 5 | |
Jun 24, 2019 at 12:32 | comment | added | AZMEH | @WillSawin, Actually, I don't know. Do you have any guesses about how we can prove that using the main theorem of CM? | |
Jun 24, 2019 at 12:17 | comment | added | Will Sawin | Doesn't this claim about the Tate module follow from the main theorem of complex multiplication? | |
Jun 24, 2019 at 12:12 | history | edited | AZMEH | CC BY-SA 4.0 |
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Jun 24, 2019 at 11:14 | comment | added | AZMEH | @WillSawin, I am missing something? | |
Jun 24, 2019 at 11:04 | comment | added | AZMEH | @WillSawin, I meant the Hecke character attached to $E$ via the main theorem of complex multiplication (see Silverman II, Theorems 9.1 and 9.2). | |
Jun 24, 2019 at 3:29 | comment | added | Will Sawin | What do you mean by the Grössencharacter associated to $E$? | |
Jun 24, 2019 at 1:33 | history | edited | AZMEH | CC BY-SA 4.0 |
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Jun 23, 2019 at 16:57 | history | edited | AZMEH | CC BY-SA 4.0 |
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Jun 23, 2019 at 16:50 | review | First posts | |||
Jun 23, 2019 at 17:19 | |||||
Jun 23, 2019 at 16:48 | history | asked | AZMEH | CC BY-SA 4.0 |