The 2-adic eigencurve at the boundary of weight space
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.(Received February 4 2004)
(Accepted May 26 2004)
(Published Online April 21 2005)
Key Words: eigencurve; slopes of modular forms; overconvergent modular forms.