Stacky heights on elliptic curves in characteristic 3

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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Bibliographic Details
Main Author Landesman, Aaron
Format Journal Article
LanguageEnglish
Published 17.07.2021
Subjects
Mathematics - Algebraic Geometry
Mathematics - Number Theory
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Summary: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.
DOI:10.48550/arxiv.2107.08318