Stable Model of X_0(125)
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
In this paper we determine the components in the stable model of X_0(125) over C_5 by constructing in rigid-analytic terminology an explicit semi-stable covering. We then offer empirical data regarding the placement of certain CM j-invariants in the supersingular disk of X(1)/C_5 which suggests a moduli-theoretic interpretation of the components in the stable model. The paper then concludes with a conjecture regarding the stable model of X_0(p^3) for p>3, which is as yet unknown.
Keywords
Cite
@article{arxiv.math/0403157,
title = {Stable Model of X_0(125)},
author = {Ken McMurdy},
journal= {arXiv preprint arXiv:math/0403157},
year = {2007}
}
Comments
5 figures