Tag Archives: The Eigencurve

The eigencurve is (still) proper

Although I don’t think about it so much anymore, the eigencurve of Coleman-Mazur was certainly one of my first loves. I can’t quite say I learnt about p-adic modular forms at my mother’s knee, but I did spend a formative … Continue reading

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Chenevier on the Eigencurve

Today I wanted to mention a theorem of Chenever about components of the Eigencurve. Let \mathcal{W} denote weight space (which is basically a union of discs), and let \pi: \mathcal{E} \rightarrow \mathcal{W} be the Coleman-Mazur eigencurve together with its natural … Continue reading

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