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

Instituto de Matemáticas UNAM Unidad Oaxaca
León 2, altos, Oaxaca de Juárez
Centro Histórico
68000 Oaxaca, Mexico.

Office: sede Martires de Tacubaya 505a
Email: lara (at) im.unam.mx

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"
  by Lara Bossinger, Sara Lamboglia, Kalina Mincheva, Fatemeh Mohammadi
  In: Smith G., Sturmfels B. (eds) Combinatorial Algebraic Geometry. Fields Institute Communications, pp.247--281, vol 80. Springer, New York, NY,
  Link, arXiv:1702.05480
  

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.