Computing toric degenerations of flag varieties

  title={Computing toric degenerations of flag varieties},
  author={Lara Bossinger and Sara Lamboglia and K. Mincheva and F. Mohammadi},
We compute toric degenerations arising from the tropicalization of the full flag varieties \(\mathop{\mathrm{Fl}}\nolimits _{4}\) and \(\mathop{\mathrm{Fl}}\nolimits _{5}\) embedded in a product of Grassmannians. For \(\mathop{\mathrm{Fl}}\nolimits _{4}\) and \(\mathop{\mathrm{Fl}}\nolimits _{5}\) we compare toric degenerations arising from string polytopes and the FFLV polytope with those obtained from the tropicalization of the flag varieties. We also present a general procedure to find toric… Expand
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