Journal
EXPERIMENTAL MATHEMATICS
Volume 18, Issue 3, Pages 347-367Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/10586458.2009.10129049
Keywords
Bogomolov conjecture; curves of higher genus; function fields; metric graphs
Categories
Funding
- NSF [DMS-070322]
Ask authors/readers for more resources
The Bogomolov conjecture is a finiteness statement about algebraic points of small height oil a smooth complete Curve defined over a global field. We verify an effective form of the Bogomolov conjecture for all curves of genus at most 4 over a function field of characteristic zero. We recover the known result for genus-2 Curves and in many cases improve upon the known bound for genus-3 curves. For many curves of genus 4 with bad reduction, the conjecture was previously unproved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available