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arXiv · 1612.03838

Toric degenerations of Gr(2,n) and Gr(3,6) via plabic graphs

Lara Bossinger·Xin Fang·Ghislain Fourier·Milena Hering·Martina Lanini
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Abstract

We establish an explicit bijection between the toric degenerations of the Grassmannian $\textrm{Gr}(2,n)$ arising from maximal cones in tropical Grassmannians and the ones coming from plabic graphs corresponding to $\textrm{Gr}(2,n)$. We show that a similar statement does not hold for $\textrm{Gr}(3,6)$.

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Lara Bossinger, Xin Fang, Ghislain Fourier, Milena Hering, Martina Lanini. 2016-12-12. Toric degenerations of Gr(2,n) and Gr(3,6) via plabic graphs. https://arxiv.org/abs/1612.03838

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