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    Lu, Xin and Sun, Hao 2016. Slopes of Non-hyperelliptic Fibrations in Positive Characteristic. International Mathematics Research Notices, p. rnw062.


    Yamaki, Kazuhiko 2016. Strict supports of canonical measures and applications to the geometric Bogomolov conjecture. Compositio Mathematica, Vol. 152, Issue. 05, p. 997.


    Cinkir, Zubeyir 2015. Admissible invariants of genus 3 curves. Manuscripta Mathematica, Vol. 148, Issue. 3-4, p. 317.


    Tan, Sheng-Li and Xu, Wan-Yuan 2015. On Szpiro inequality for semistable families of curves. Journal of Number Theory, Vol. 151, p. 36.


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    Zhang, Tong 2014. Severi inequality for varieties of maximal Albanese dimension. Mathematische Annalen, Vol. 359, Issue. 3-4, p. 1097.


    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.


    Nguen, Khac-Viet 2000. On certain Mordell-Weil lattices of hyperelliptic type on rational surfaces. Journal of Mathematical Sciences, Vol. 102, Issue. 2, p. 3938.


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

  • ATSUSHI MORIWAKI (a1)
  • DOI: http://dx.doi.org/10.1023/A:1000139117766
  • Published online: 01 January 1997
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.

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