English

Tropically Unirational Varieties

Algebraic Geometry 2012-05-03 v1 Combinatorics

Abstract

We introduce tropically unirational varieties, which are subvarieties of tori that admit dominant rational maps whose tropicalisation is surjective. The central (and unresolved) question is whether all unirational varieties are tropically unirational. We present several techniques for proving tropical unirationality, along with various examples.

Keywords

Cite

@article{arxiv.1205.0398,
  title  = {Tropically Unirational Varieties},
  author = {Jan Draisma and Bart Frenk},
  journal= {arXiv preprint arXiv:1205.0398},
  year   = {2012}
}

Comments

Submitted to Proceedings of the CIEM Workshop on Tropical Geometry

R2 v1 2026-06-21T20:57:35.244Z