Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-23T18:11:22.773Z Has data issue: false hasContentIssue false
  • English
  • Français

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: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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