Abstract
We prove that, near the boundary of weight space, the 2-adic eigencurve of tame level 1 can be written as an infinite disjoint union of 'evenly spaced' annuli, and on each annulus the slopes of the corresponding overconvergent eigenforms tend to zero.
| Translated title of the contribution | The 2-adic eigencurve at the boundary of weight space |
|---|---|
| Original language | English |
| Pages (from-to) | 605 - 619 |
| Number of pages | 15 |
| Journal | Compositio Mathematica |
| Volume | 141 (3) |
| DOIs | |
| Publication status | Published - May 2005 |