Height Estimates for Equidimensional Dominant Rational Maps

Details Height Estimates for Equidimensional Dominant Rational Maps Height Estimates for Equidimensional Dominant Rational Maps

2009-08-26

arxiv.org/abs/0908.3835v1

J. Ramanujan Math. Soc. 26 (2011), 145--163

Mathematics

Number Theory

18 pages

Scientific paper

Let F : W --> V be a dominant rational map between quasi-projective varieties of the same dimension. We give two proofs that h_V(F(P)) >> h_W(P) for all points P in a nonempty Zariski open subset of W. For dominant rational maps F : P^n --> P^n, we give a uniform estimate in which the implied constant depends only on n and the degree of F. As an application, we prove a specialization theorem for equidimensional dominant rational maps to semiabelian varieties, providing a complement to Habegger's recent theorem on unlikely intersections.

Affiliated with

Also associated with

No associations

Rating

Height Estimates for Equidimensional Dominant Rational Maps 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 Height Estimates for Equidimensional Dominant Rational Maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Height Estimates for Equidimensional Dominant Rational Maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-625336