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arXiv · 1702.05480

Computing toric degenerations of flag varieties

Lara Bossinger·Sara Lamboglia·Kalina Mincheva·Fatemeh Mohammadi
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Abstract

We compute toric degenerations arising from the tropicalization of the full flag varieties $\mathcal{F}\ell_4$ and $\mathcal{F}\ell_5$ embedded in a product of Grassmannians. For $\mathcal{F}\ell_4$ and $\mathcal{F}\ell_5$ 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 degenerations in the cases where the initial ideal arising from a cone of the tropicalization of a variety is not prime.

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Lara Bossinger, Sara Lamboglia, Kalina Mincheva, Fatemeh Mohammadi. 2017-02-17. Computing toric degenerations of flag varieties. https://arxiv.org/abs/1702.05480

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