16 citations · 47 across the 13 of their papers we have counts for
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math.AG2014★ 6 cited
Trace of abelian varieties over function fields and the geometric Bogomolov conjecture
Kazuhiko Yamaki
We prove that the geometric Bogomolov conjecture for any abelian varieties is reduced to that for nowhere degenerate abelian varieties with trivial trace. In particular, the geomet…
math.AG2014★ 1 cited
Algebraic rank on hyperelliptic graphs and graphs of genus
Shu Kawaguchi, Kazuhiko Yamaki
Let be a vertex-weighted graph, and a divisor class on . Let denote the combinatorial rank of . Caporaso has introduced the algebraic…