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arXiv · 1301.0712

On the Eigencurve at classical weight one points

Joël Bellaïche·Mladen Dimitrov
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Abstract

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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Joël Bellaïche, Mladen Dimitrov. 2014-09-10. On the Eigencurve at classical weight one points. https://doi.org/10.1215/00127094-3165755

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