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math.AG2026
General tropical convergence of harmonic amoebas
Takashi Ichikawa
By using Schottky uniformization theory of degenerating algebraic curves, we describe the tropical convergence of harmonic amoebas of pointed Riemann surfaces to tropical curves wh…
math.AG2026
Dimers for degenerating families of M-curves
Takashi Ichikawa
We study dimer models on infinite minimal graphs with Fock's weights for degenerating families of M-curves of any genus based on works of Boutillier-Cimasoni-de Tilière and Bobenko…