English

On intersections and stable intersections of tropical hypersurfaces

Combinatorics 2023-02-27 v1 Algebraic Geometry

Abstract

We prove that every connected component of an intersection of tropical hypersurfaces contains a point of their stable intersection unless their stable intersection is empty. This is done by studying algebraic hypersurfaces that tropicalize to them and the tropicalization of their intersection.

Keywords

Cite

@article{arxiv.2302.12335,
  title  = {On intersections and stable intersections of tropical hypersurfaces},
  author = {Yue Ren},
  journal= {arXiv preprint arXiv:2302.12335},
  year   = {2023}
}

Comments

8 pages, 4 figures