Stable Model of X0(125)
Ken McMurdy
Abstract
In this paper we determine the components in the stable model of X0(125) over C5 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)/C5 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 X0(p3) for p>3, which is as yet unknown.
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