The (local) lifting problem for curves

Details The (local) lifting problem for curves The (local) lifting problem for curves

2011-05-08

arxiv.org/abs/1105.1530v1

Mathematics

Algebraic Geometry

54 pages

Scientific paper

The lifting problem that we consider asks: given a smooth curve in characteristic p and a group of automorphisms, can we lift the curve, along with the automorphisms, to characteristic zero? One can reduce this to a local question (the so-called local lifting problem) involving continuous group actions on formal power series rings. In this expository article, we overview much of the progress that has been made toward determining when the local lifting problem has a solution, and we give a taste of the work currently being undertaken. Of particular interest is the case when the group of automorphisms is cyclic. In this case the lifting problem is expected to be solvable---this is the Oort conjecture.

Affiliated with

Also associated with

No associations

Rating

The (local) lifting problem for curves 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 (local) lifting problem for curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The (local) lifting problem for curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-145210