7 citations · 22 across the 14 of their papers we have counts for
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nlin.SI2011★ 1 cited
Addition in Jacobians of tropical hyperelliptic curves
Atsushi Nobe
We show that there exists a surjection from the set of effective divisors of degree on a tropical curve of genus to its Jacobian by using a tropical version of the Riemann-…
nlin.SI2011★ 1 cited
The group law on the tropical Hesse pencil
Atsushi Nobe
We show that the addition of points on the tropical Hesse curve can be realized via the intersection with a tropical line. Then the addition formula for the tropical Hesse curve is…
nlin.SI2011
A tropical analogue of the Hessian group
Atsushi Nobe
We investigate a tropical analogue of the Hessian group , the group of linear automorphisms acting on the Hesse pencil. Through the procedure of ultradiscretization, the g…