English

Singular tropical hypersurfaces

Algebraic Geometry 2015-03-17 v2 Combinatorics

Abstract

We study the notion of singular tropical hypersurfaces of any dimension. We characterize the singular points in terms of tropical Euler derivatives and we give an algorithm to compute all singular points. We also describe non-transversal intersection points of planar tropical curves.

Keywords

Cite

@article{arxiv.1012.5812,
  title  = {Singular tropical hypersurfaces},
  author = {Alicia Dickenstein and Luis F. Tabera},
  journal= {arXiv preprint arXiv:1012.5812},
  year   = {2015}
}

Comments

Several improvements. Added a discussion in section 4 on the relationship of our results and previous results on tropical discriminants

R2 v1 2026-06-21T17:04:56.295Z