English

Tropical lifting problem for the intersection of plane curves

Algebraic Geometry 2022-12-26 v2

Abstract

Given a tropical divisor DD in the intersection of two tropical plane curves, we study when it can be realized as the tropicalization of the intersection of two algebraic curves, and give a sufficient condition. We show that under a certain condition involving a graph determined by these tropical curves, we can algorithmically find algebraic curves such that the tropicalization of their intersection is DD.

Keywords

Cite

@article{arxiv.2210.09696,
  title  = {Tropical lifting problem for the intersection of plane curves},
  author = {Masayuki Sukenaga},
  journal= {arXiv preprint arXiv:2210.09696},
  year   = {2022}
}

Comments

30 pages, 10 figures

R2 v1 2026-06-28T03:53:54.834Z