Toric degenerations of Gelfand-Cetlin systems and potential functions
Symplectic Geometry
2009-06-05 v2 Algebraic Geometry
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.
Cite
@article{arxiv.0810.3470,
title = {Toric degenerations of Gelfand-Cetlin systems and potential functions},
author = {Takeo Nishinou and Yuichi Nohara and Kazushi Ueda},
journal= {arXiv preprint arXiv:0810.3470},
year = {2009}
}
Comments
54 pages, 8 figures. v2: added section 4, revised section 9, and minor changes here and there