2 papers
math.AG2017
Tropicalization of 1-tacnodal curves on toric surfaces
Takuhiro Takahashi
A degeneration of a singular curve on a toric surface, called a tropicalization, was constructed by E. Shustin. He classified the degeneration of 1-cuspidal curves using polyhedral…
math.AG2016
A note on tropical curves and the Newton diagrams of plane curve singularities
Takuhiro Takahashi
For a convenient and Newton non-degenerate singularity, the Milnor number is computed from the complement of its Newton diagram in the first quadrant, so-called Kouchnirenko's form…