no. 5
Stacky heights on elliptic curves in characteristic 3
[Hauteurs sur le champ de modules des courbes elliptiques en caractéristique 3]
Landesman, Aaron1
1 Dept. of Mathematics, Harvard University, Cambridge, MA 02138 (USA)
Annales de l'Institut Fourier, Tome 74 (2024) no. 5, pp. 1881-1894.

Nous montrons qu’il n’existe pas de hauteur sur le champ de modules des courbes elliptiques en caractéristique 3 qui induit la hauteur de Faltings usuelle. Cela donne une réponse négative à une question posée par Ellenberg, Satriano et Zureick-Brown.

We show there are no stacky heights on the moduli stack of stable elliptic curves in characteristic 3 which induce the usual Faltings height, negatively answering a question of Ellenberg, Satriano, and Zureick-Brown.

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DOI : 10.5802/aif.3638
Classification : 11G05, 11G50
Keywords: heights, elliptic curves, stacks
Mot clés : hauteurs, courbes elliptiques, champs

Landesman, Aaron 1

1 Dept. of Mathematics, Harvard University, Cambridge, MA 02138 (USA)
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Landesman, Aaron. Stacky heights on elliptic curves in characteristic 3. Annales de l'Institut Fourier, Tome 74 (2024) no. 5, pp. 1881-1894. doi : 10.5802/aif.3638. https://aif.centre-mersenne.org/articles/10.5802/aif.3638/

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[4] Group description Dic3, https://people.maths.bris.ac.uk/~matyd/GroupNames/1/Dic3.html (Accessed: March 3, 2023)

[5] Landesman, Aaron A thesis of minimal degree: two, Ph. D. Thesis, Stanford University (2021)

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