On the Eigencurve at classical weight one points
classification
🧮 math.NT
keywords
pointsweightclassicaleigencurveapproachcriteriondeformationsetaleness
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We show that the p-adic Eigencurve is smooth at classical weight one points which are regular at p and give a precise criterion for etaleness over the weight space at those points. Our approach uses deformations of Galois representations.
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