On the eigencurve at classical weight $1$ points
By J. Bellaïche, Mladen Dimitrov. 2013
67 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/817350f77a8ce3fb8e6dc25c9abfbed965fa150b
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In Algebra and Number Theory
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Rankin–Eisenstein classes in Coleman families (2015, background): “Proof Part (1) is exactly the statement that the eigencurve is smooth at the point corresponding to fα , and is étale over weight space except in the real-multiplication setting, see [3].”