The LMS JCM, (7) 21-36. Published 08 Mar 2004. First received 11 Jul 2003.


Stable model of X0(125)

Ken McMurdy



Abstract: In this paper, the components in the stable model of X0(125) over C5 are determined by constructing (in the language of R. Coleman's `Stable maps of curves', to appear in the Kato Volume of Doc. Math.) an explicit semi-stable covering. Empirical data is then offered regarding the placement of certain CM j-invariants in the supersingular disk of X(1) over C5, which suggests a moduli-theoretic interpretation for the components of 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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