The Coleman–Mazur eigencurve is proper at integral weights
نویسندگان
چکیده
منابع مشابه
The Eigencurve is Proper at Integral Weights
The eigencurve E is a rigid analytic space parameterizing overconvergent and therefore classical modular eigenforms of finite slope. Since Coleman and Mazur’s original work [10], there have been numerous generalizations [4, 6, 14], as well as alternative constructions using modular symbols [1] and p-adic representation theory [12]. In spite of these advances, several elementary questions about ...
متن کاملThe Coleman–Mazur eigencurve is proper at integral weights
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In [7], Coleman and Mazur construct a rigid analytic space E that parameterizes overconvergent and therefore classical modular eigenforms of finite slope. The geometry of E is at present poorly understood, and seems quite complicated, especially over the centre of weight space. Recently, some progress has been made in understanding the geometry of E in certain examples (see for example [3],[4])...
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ژورنال
عنوان ژورنال: Algebra & Number Theory
سال: 2008
ISSN: 1937-0652
DOI: 10.2140/ant.2008.2.209