3 papers
math.AG2026
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…
math.AG2025
Tropical function fields, finite generation, and faithful tropicalization
Omid Amini, Shu Kawaguchi, JuAe Song
Given an algebraic variety defined over a discrete valuation field and a skeleton of its Berkovich analytification, the tropicalization process transforms function field of the var…
math.AG2024
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…