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

Posted in Mathematics | Tagged , , , , , , , , , , , , | 1 Comment

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

Posted in Mathematics | Tagged , , , , , , , | Leave a comment