Stacky heights on elliptic curves in characteristic 3
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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.
[1] J. Ellenberg,et al. Heights on stacks and a generalized Batyrev–Manin–Malle conjecture , 2021, Forum of Mathematics, Sigma.
[2] K. Erdmann,et al. Algebras and Representation Theory , 2018 .
[3] N. Borne. Fibrés Paraboliques et Champ des Racines , 2006, math/0604458.
[4] Jaap Top,et al. Reduction of Elliptic Curves in Equal Characteristic 3 (and 2) , 2005, Canadian Mathematical Bulletin.
[5] J. Silverman. Advanced Topics in the Arithmetic of Elliptic Curves , 1994 .