16 citations · 47 across the 13 of their papers we have counts for
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Tropical Kummer quartic surfaces
Shu Kawaguchi, Kazuhiko Yamaki
We introduce tropical Kummer quartic surfaces in tropical projective -space as the images of certain principally polarized tropical abelian surfaces under tropical theta functio…
Effective faithful tropicalizations and embeddings for abelian varieties
Shu Kawaguchi, Kazuhiko Yamaki
Let be an abelian variety over an algebraically closed field that is complete with respect to a nontrivial nonarchimedean absolute value. Let denote the a…
Effective faithful tropicalizations associated to adjoint linear systems
Shu Kawaguchi, Kazuhiko Yamaki
Let be a complete discrete valuation ring of equi-characteristic zero with fractional field . Let be a connected, smooth projective variety of dimension over , an…
Effective faithful tropicalizations associated to linear systems on curves
Shu Kawaguchi, Kazuhiko Yamaki
For a connected smooth projective curve of genus , global sections of any line bundle with give an embedding of the curve into projective space. We con…
Survey on the geometric Bogomolov conjecture
Kazuhiko Yamaki
This is a survey paper of the developments on the geometric Bogomolov conjecture. We explain the recent results by the author as well as previous works concerning the conjecture. T…
Geometric Bogomolov conjecture for nowhere degenerate abelian varieties of dimension with trivial trace
Kazuhiko Yamaki
We prove that the geometric Bogomolov conjecture holds for nowhere degenerate abelian varieties of dimension with trivial trace. By this result together with our previous work,…