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math.AG2010★ 7 cited
Generators of modules in tropical geometry
Shuhei Yoshitomi
A module over the tropical semifield is analogous to a module over a field. We assume that is straight reflexive, and define the dimension of to the number of eleme…
math.AG2006★ 3 cited
Jacobian varieties of reduced tropical curves
Shuhei Yoshitomi
On tropical geometry in $\rr^2$, the divisor and the Jacobian variety are defined in analogy to algebraic geometry. For study of these objects, it is important to think of the `bun…