Timeline for Is there an isotrivial elliptic surface of positive rank having a section of order $3$?
Current License: CC BY-SA 4.0
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| Nov 7, 2023 at 18:07 | comment | added | Ariyan Javanpeykar | I added an answer below. Note that semi-stable reduction follows from the existence of a point of order $3$ (and the fact that you are away from char 3). A good reference for this is Ahmed Abbes, Réduction semi-stable des courbes d’après Artin, Deligne, Grothendieck, Mumford, Saito, Winters, , Courbes semi-stables et groupe fondamental en géométrie algébrique (Luminy, 1998) Progr. Math., vol. 187, Birkhäuser, Basel, 2000, pp. 59–110 (French). MR 1768094 | |
| Nov 7, 2023 at 14:39 | answer | added | Ariyan Javanpeykar | timeline score: 3 | |
| Nov 5, 2023 at 15:17 | history | edited | Dimitri Koshelev | CC BY-SA 4.0 |
added 242 characters in body; deleted 7 characters in body
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| Nov 5, 2023 at 11:38 | comment | added | Dimitri Koshelev | Could you explain in more details? Thanks. | |
| Nov 4, 2023 at 18:10 | comment | added | Ariyan Javanpeykar | Such an elliptic curve (with a point of order three) should have semi stable reduction and would therefore be constant (ie defined over the base field k). | |
| Nov 4, 2023 at 17:38 | history | asked | Dimitri Koshelev | CC BY-SA 4.0 |