Modular curves of composite level
نویسندگان
چکیده
منابع مشابه
Modular Curves of Infinite Level
The goal of this course is to investigate an object which might be called X(p∞), and which appears as the inverse limit of the classical modular curves X(p). Informally, X(p∞) ought to classify elliptic curves E together with a Zp-basis for the Tate module Tp(E). (A disclaimer is in order, lest I be accused of false advertising: We won’t be studying all of X(p∞), but rather a piece of it corres...
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These lectures concern the arithmetic of modular curves, and in particular the geometry of integral models of modular curves in the neighborhood of their singular points. These singularities only appear modulo p. If X is a modular curve and x is a singular point, then the nature of the singularity is measured by the completed local ring ÔX,x. Let us first review the basics of integral models of...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2005
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa118-2-3