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, Online first, 14 p.

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.

Reçu le :
Révisé le :
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Première publication :
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) 
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Landesman, Aaron. Stacky heights on elliptic curves in characteristic 3. Annales de l'Institut Fourier, Online first, 14 p.

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