Tropical Linear Spaces

@article{Speyer2008TropicalLS,
  title={Tropical Linear Spaces},
  author={David E Speyer},
  journal={SIAM J. Discret. Math.},
  year={2008},
  volume={22},
  pages={1527-1558}
}
  • D. Speyer
  • Published 21 October 2004
  • Mathematics, Computer Science
  • SIAM J. Discret. Math.
We define the tropical analogues of the notions of linear spaces and Plucker coordinates and study their combinatorics. We introduce tropical analogues of intersection and dualization and define a tropical linear space built by repeated dualization and transverse intersection to be constructible. Our main result is that all constructible tropical linear spaces have the same $f$-vector and are “series-parallel”. We conjecture that this $f$-vector is maximal for all tropical linear spaces, with… Expand
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