75 citations · 305 across the 41 of their papers we have counts for
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Toric degenerations of Gr(2,n) and Gr(3,6) via plabic graphs
Lara Bossinger, Xin Fang, Ghislain Fourier +2
We establish an explicit bijection between the toric degenerations of the Grassmannian arising from maximal cones in tropical Grassmannians and the ones coming f…
String cone and Superpotential combinatorics for flag and Schubert varieties in type A
Lara Bossinger, Ghislain Fourier
We study the combinatorics of pseudoline arrangements and their relation to the geometry of flag and Schubert varieties. We associate to each pseudoline arrangement two polyhedral…
On toric degenerations of flag varieties
Xin Fang, Ghislain Fourier, Peter Littelmann
Following the historical track in pursuing -equivariant flat toric degenerations of flag varieties and spherical varieties, we explain how powerful tools in algebraic geometry a…
Degree cones and monomial bases of Lie algebras and quantum groups
Teodor Backhaus, Xin Fang, Ghislain Fourier
We provide -filtrations on the negative part of the quantum group associated to a finite-dimensional simple Lie algebra , such that…
Linear degenerations of flag varieties
Giovanni Cerulli Irelli, Xin Fang, Evgeny Feigin +2
Linear degenerate flag varieties are degenerations of flag varieties as quiver Grassmannians. For type A flag varieties, we obtain characterizations of flatness, irreducibility and…