Stacky heights on elliptic curves in characteristic 3
Landesman, Aaron1
1 Dept. of Mathematics, Harvard University, Cambridge, MA 02138 (USA)
Annales de l'Institut Fourier, Online first, 14 p.

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.

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.

Received:
Revised:
Accepted:
Online First:
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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