Moduli spaces for families of rational maps on P^1

Mathematics – Number Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

48 pages

Scientific paper

Let phi: P^1 --> P^1 be a rational map defined over a field K. We construct the moduli space M_d(N) parameterizing conjugacy classes of degree-d maps with a point of formal period N and present an algebraic proof that M_2(N) is geometrically irreducible for N>1. Restricting ourselves to maps phi of arbitrary degree d >= 2 such that the composition h^{-1} phi h = phi for some nontrivial h in PGL_2, we show that the moduli space parameterizing these maps with a point of formal period N is geometrically reducible for infinitely many N.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Moduli spaces for families of rational maps on P^1 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 Moduli spaces for families of rational maps on P^1, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Moduli spaces for families of rational maps on P^1 will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-487352

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.