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paper

Tropically Unirational Varieties

arXiv:1205.0398

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.

Submitted to Proceedings of the CIEM Workshop on Tropical Geometry