Translator Disclaimer
April 2020 Tropicalization of 1-tacnodal curves on toric surfaces
Takuhiro Takahashi
Osaka J. Math. 57(2): 451-491 (April 2020).

Abstract

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 complexes called tropical curves. In this paper, we define a tropical version of a 1-tacnodal curve, that is, a curve having exactly one singular point whose topological type is $A_3$, and by applying the tropicalization method, we classify tropical curves which correspond to 1-tacnodal curves.

Citation

Download Citation

Takuhiro Takahashi. "Tropicalization of 1-tacnodal curves on toric surfaces." Osaka J. Math. 57 (2) 451 - 491, April 2020.

Information

Published: April 2020
First available in Project Euclid: 6 April 2020

zbMATH: 07196685
MathSciNet: MR4081739

Subjects:
Primary: 14T05
Secondary: 14H20

Rights: Copyright © 2020 Osaka University and Osaka City University, Departments of Mathematics

JOURNAL ARTICLE
41 PAGES


SHARE
Vol.57 • No. 2 • April 2020
Back to Top