---
res:
  bibo_abstract:
  - We study whether a given tropical curve $Γ$ in $\mathbb{R}^n$ can be realized
    as the tropicalization of an algebraic curve whose non-archimedean skeleton is
    faithfully represented by $Γ$. We give an affirmative answer to this question
    for a large class of tropical curves that includes all trivalent tropical curves,
    but also many tropical curves of higher valence. We then deduce that for every
    metric graph $G$ with rational edge lengths there exists a smooth algebraic curve
    in a toric variety whose analytification has skeleton $G$, and the corresponding
    tropicalization is faithful. Our approach is based on a combination of the theory
    of toric schemes over discrete valuation rings and logarithmically smooth deformation
    theory, expanding on a framework introduced by Nishinou and Siebert.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Man-Wai
      foaf_name: Cheung, Man-Wai
      foaf_surname: Cheung
  - foaf_Person:
      foaf_givenName: Lorenzo
      foaf_name: Fantini, Lorenzo
      foaf_surname: Fantini
  - foaf_Person:
      foaf_givenName: Jennifer
      foaf_name: Park, Jennifer
      foaf_surname: Park
  - foaf_Person:
      foaf_givenName: Martin
      foaf_name: Ulirsch, Martin
      foaf_surname: Ulirsch
  dct_date: 2014^xs_gYear
  dct_language: eng
  dct_title: Faithful realizability of tropical curves@
...