The 2-adic Eigencurve is Proper

Details The 2-adic Eigencurve is Proper The 2-adic Eigencurve is Proper

2005-03-17

arxiv.org/abs/math/0503362v1

Mathematics

Number Theory

Scientific paper

For p=2 and tame level N=1 we prove that the map from the (Coleman-Mazur)
Eigencurve to weight space satisfies the valuative criterion of properness.
More informally, we show that the Eigencurve has no "holes"; given a punctured
disc of finite slope overconvergent eigenforms over weight space, the center
can be "filled in" with a finite slope overconvergent eigenform.

Affiliated with

Also associated with

No associations

Rating

The 2-adic Eigencurve is Proper does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The 2-adic Eigencurve is Proper, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The 2-adic Eigencurve is Proper will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-606240