English

Dynamical Tropicalisation

Algebraic Geometry 2023-01-09 v3 Combinatorics Complex Variables Dynamical Systems

Abstract

We analyse the dynamics of the pullback of the map zzmz \longmapsto z^m on the complex tori and toric varieties. We will observe that tropical objects naturally appear in the limit, and review several theorems in tropical geometry.

Keywords

Cite

@article{arxiv.2112.09112,
  title  = {Dynamical Tropicalisation},
  author = {Farhad Babaee},
  journal= {arXiv preprint arXiv:2112.09112},
  year   = {2023}
}

Comments

33 pages, 1 figure. Minor revisions. To appear in the Journal of Geometric Analysis. Nessim Sibony: In Memoriam

R2 v1 2026-06-24T08:20:56.961Z