7 citations · 10 across the 3 of their papers we have counts for
3 papers
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.CO2007
Tropical Jacobians in R2
Shuhei Yoshitomi
By tropical Abel-Jacobi theorem, the Jacobian of a tropical curve is isomorphic to the Picard group. A tropical curve in corresponds to an immersion from a tropical…
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…