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  • Cited by 9
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    Yamaki, Kazuhiko 2013. Geometric Bogomolov conjecture for abelian varieties and some results for those with some degeneration (with an appendix by Walter Gubler: the minimal dimension of a canonical measure). Manuscripta Mathematica, Vol. 142, Issue. 3-4, p. 273.

    Gubler, Walter 2007. The Bogomolov conjecture for totally degenerate abelian varieties. Inventiones mathematicae, Vol. 169, Issue. 2, p. 377.

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

  • DOI:
  • Published online: 01 January 1997

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.

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Compositio Mathematica
  • ISSN: 0010-437X
  • EISSN: 1570-5846
  • URL: /core/journals/compositio-mathematica
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