English

Universal families of rational tropical curves

Algebraic Geometry 2019-08-15 v3

Abstract

We introduce the notion of families of n-marked smooth rational tropical curves over smooth tropical varieties and establish a one-to-one correspondence between (equivalence classes of) these families and morphisms from smooth tropical varieties into the moduli space of n-marked abstract rational tropical curves.

Keywords

Cite

@article{arxiv.1105.1674,
  title  = {Universal families of rational tropical curves},
  author = {Georges Francois and Simon Hampe},
  journal= {arXiv preprint arXiv:1105.1674},
  year   = {2019}
}

Comments

24 pages, 3 figures Second version: Generalisations and corrections (e.g. a general tropical fibre product) Third version: Minor changes and corrections (version as published in Canadian Journal of Mathematics)