English

Bogomolov conjecture over function fields for stable curves with only irreducible fibers (Version 2.0)

alg-geom 2008-02-03 v2 Algebraic Geometry

Abstract

Let K be a function field and C a non-isotrivial curve of genus g >= 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

Cite

@article{arxiv.alg-geom/9505003,
  title  = {Bogomolov conjecture over function fields for stable curves with only irreducible fibers (Version 2.0)},
  author = {Atsushi Moriwaki},
  journal= {arXiv preprint arXiv:alg-geom/9505003},
  year   = {2008}
}

Comments

21 pages (with 1 figure), AMSLaTeX version 1.2 (In this version 2.0, the restriction of characteristic is removed.)