Stacky heights on elliptic curves in characteristic 3
Number Theory
2023-06-02 v2 Algebraic Geometry
Abstract
We show there are no stacky heights on the moduli stack of stable elliptic curves in characteristic which induce the usual Faltings height, negatively answering a question of Ellenberg, Satriano, and Zureick-Brown.
Cite
@article{arxiv.2107.08318,
title = {Stacky heights on elliptic curves in characteristic 3},
author = {Aaron Landesman},
journal= {arXiv preprint arXiv:2107.08318},
year = {2023}
}
Comments
I have made significant changes and restructured the argument based on a number of suggestions and corrections from an anonymous referee