16 citations · 52 across the 9 of their papers we have counts for
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math.SG2008★ 6 cited
Potential functions via toric degenerations
Takeo Nishinou, Yuichi Nohara, Kazushi Ueda
This is a short companion paper to arXiv:0810.3470. We construct an integrable system on an open subset of a Fano manifold equipped with a toric degeneration, and compute the poten…
math.SG2008★ 6 cited
Toric degenerations of Gelfand-Cetlin systems and potential functions
Takeo Nishinou, Yuichi Nohara, Kazushi Ueda
We define a toric degeneration of an integrable system on a projective manifold, and prove the existence of a toric degeneration of the Gelfand-Cetlin system on the flag manifold o…