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

Published online by Cambridge University Press:  04 December 2007

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

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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.

Keywords

Stable curvesArakelov Geometry
Type
Research Article
Information
Compositio Mathematica , Volume 105 , Issue 2 , January 1997 , pp. 125 - 140
Copyright
© 1997 Kluwer Academic Publishers