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arxiv: 0810.3470 · v2 · submitted 2008-10-20 · 🧮 math.SG · math.AG

Toric degenerations of Gelfand-Cetlin systems and potential functions

Takeo Nishinou , Yuichi Nohara , Kazushi Ueda This is my paper
classification 🧮 math.SG math.AG
keywords gelfand-cetlinsystemtoricdegenerationmanifoldpotentialapplicationcalculate
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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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