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arXiv · 0810.3470

Toric degenerations of Gelfand-Cetlin systems and potential functions

Takeo Nishinou·Yuichi Nohara·Kazushi Ueda
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Abstract

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 of type A. As an application, we calculate the potential function for a Lagrangian torus fiber of the Gelfand-Cetlin system.

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Takeo Nishinou, Yuichi Nohara, Kazushi Ueda. 2009-06-05. Toric degenerations of Gelfand-Cetlin systems and potential functions. https://arxiv.org/abs/0810.3470

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