Stable Model of X_0(125)
Abstract
In this paper we determine the components in the stable model of X_0(125) over C_5 by constructing in rigidanalytic terminology an explicit semistable covering. We then offer empirical data regarding the placement of certain CM jinvariants in the supersingular disk of X(1)/C_5 which suggests a modulitheoretic 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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 March 2004
 arXiv:
 arXiv:math/0403157
 Bibcode:
 2004math......3157M
 Keywords:

 Number Theory;
 Algebraic Geometry;
 11G18;
 14G22
 EPrint:
 5 figures