21 citations · 95 across the 33 of their papers we have counts for
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math.CO2017★ 1 cited
A Continuous Family of Marked Poset Polytopes
Xin Fang, Ghislain Fourier, Jan-Philipp Litza +1
For any marked poset we define a continuous family of polytopes, parametrized by a hypercube, generalizing the notions of marked order and marked chain polytopes. By providing tran…
math.RT2017★ 2 cited
Weighted PBW degenerations and tropical flag varieties
Xin Fang, Evgeny Feigin, Ghislain Fourier +1
We study algebraic, combinatorial and geometric aspects of weighted PBW-type degenerations of (partial) flag varieties in type . These degenerations are labeled by degree functi…
math.AG2017★ 2 cited
From standard monomial theory to semi-toric degenerations via Newton-Okounkov bodies
Xin Fang, Peter Littelmann
The Hodge algebra structures on the homogeneous coordinate rings of Grassmann varieties provide semi-toric degenerations of these varieties. In this paper we construct these semi-t…