Timeline for Elliptic factors in the Jacobian and zeta function
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| Oct 13, 2020 at 12:51 | comment | added | Ben Smith | If you want some explicit examples of such genus-2 curves, then you might like to check out Hashimoto and Murabayashi's Shimura curves as intersections of Humbert surfaces and defining equations of QM-curves of genus two. | |
| Oct 12, 2020 at 12:30 | comment | added | T. Combot | Thank you, I will read about this. My question was inspired by the question "Algebraic curve mapping to elliptic curve - how to check whether this is possible". Existence of such morphism is related to elliptic factors in the Jacobian, and it was suggested in the comments that the zeta function of its reduction could solve this problem. | |
| Oct 11, 2020 at 19:56 | history | answered | Ari Shnidman | CC BY-SA 4.0 |