Compositio Mathematica



Bogomolov conjecture over function fields for stable curves with only irreducible fibers


ATSUSHI MORIWAKI a1
a1 Department of Mathematics, Faculty of Science, Kyoto University, Kyoto, 606-01, Japan e-mail: moriwaki@kusm.kyoto-u.ac.jp

Article author query
moriwaki a   [Google Scholar] 
 

Abstract

Let $K$ be a function field and $C$ a non-isotrivial curve of genus $g\geqslant 2$ over $K$. In this paper, we will show that if $C$ has a global stable model with only geometrically irreducible fibers, then Bogomolov conjecture over function fields holds.


Key Words: Stable curves; Arakelov Geometry.