Computing toric degenerations of flag varieties

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Trop(Flag₄)
Trop(Flag₅)
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L. Bossinger
S. Lamboglia
K. Mincheva
F. Mohammadi

Mathematisches Institut
University of Cologne
Weyertal 86 - 90
50931 Cologne
Germany

Room 211
Tel: +49 (0) 221 470 3722
Email: lbossing (at) math.uni-koeln.de

Welcome!

On this page you can find computational results regarding the tropicalization of the full flag varietiy Flag₄ (resp. Flag₅) consisting of flags of vector subspaces of a 4-dimensional (resp. 5-dimensional) complex vector space. We computed its tropicalziation in the paper

• "Computing toric degenerations of flag varieties"
  with Sara Lamboglia, Kalina Mincheva, Fatemeh Mohammadi
  arXiv:1702.05480

that will appear in the Fields CAG book. We used the Macaulay2 package ToricDegenerations written by Sara Lamboglia to extract information about the toric degenerations of the flag variety obtained from Trop(Flag_n) for n=4 and n=5.